March 27, 2022

UNIVERSITY EXAMINATIONS: 2018/2019 EXAMINATION FOR THE CERTIFICATE IN BUSINESS INFORMATION TECHNOLOGY CBIT102 BUSINESS INFORMATION MANAGEMENT FULLTIME/PARTIME DATE: NOVEMBER, 2018 TIME: 2 HOURS INSTRUCTIONS: Answer Question ONE AND any other TWO questions. QUESTION ONE (COMPULSORY: 30 MARKS) a) Define the following terms as applicable in computer technology and give relevant examples for each. i. ALU [2 Marks] ii. Control Unit [2 Marks] iii. Non-volatile memory [2 Marks] iv. System Clock [2 Marks] b) Differentiate between primary memory and secondary memory. [4 Marks] c) Discuss four desirable characteristics of information. [8 Marks] d) Use a diagram to explain the three levels of management in an organization, explaining the nature of decisions made at each level and the nature of information needed to make those decisions. [10 Marks] QUESTION TWO (20 MARKS) a) Describe FOUR types of system software, clearly explaining their role in the running of a computer. [8 Marks] b) Explain your understanding of an information system, and give two examples of information systems. [2 Marks] c) With the aid of a well labeled diagram, highlight and explain the roles of key components of an information system. [10 Marks] QUESTION THREE (20 MARKS) a) Discuss four types of computer visual display technologies that are common in the market today. [8 Marks] b) Explain four key tools and techniques for information security that an organization should have in place to ensure its information is secure. [8 marks] c) Clearly differentiate between GUI and CLI, and give example of an operating system that uses each of the interfaces. [4 Marks] QUESTION FOUR (20 MARKS) a) Explain four advantages of emails over paper-based methods of communication. [4 Marks] b) Describe your understanding of open source software and give an example of one operating system that falls under this category of software? [3 Marks] c) Highlight three reasons for knowledge management in an organization of your choice. [3 Marks] d) ‘People’ are an important component of information systems. Discuss three kinds of people involved in the different aspects of an information system and explain their respective roles. [6 marks] e) Using a well labeled diagram, describe the CIA triad of information systems security. [4 Marks] QUESTION FIVE (20 MARKS) a) Differentiate between multiprocessing and multitasking as applies in computer technology? [4 Marks] b) What is your understanding of a Learning Management System? [2 Marks] c) Discuss four benefits provided by Learning Management Systems to learning institutions that embrace them. [8 Marks] d) Explain three information security threats that organizations that use technology to manage their information are exposed to. [6 Marks]

UNIVERSITY EXAMINATIONS: 2018/2019 EXAMINATION FOR THE DIPLOMA IN INFORMATION TECHNOLOGY/DIPLOMA IN BUSINESS INFORMATION TECHNOLOGY CIT&CBIT101 CUSTOMER RELATIONSHIP MANAGEMENT DATE: NOVEMBER, 2018 TIME: 2 HOURS INSTRUCTIONS: Answer Question ONE (Compulsory) and any other TWO questions. QUESTION ONE (30 MARKS) a) Define the main benefits of using CRM software for companies (8 Marks) b) Explain how CRM has evolved to what it is today (10 Marks) c) Write short notes on the following clearly outlining at least two advantages of each i. Sales Force Automation (4 Marks) ii. Marketing Automation (4 Marks) iii. Service Automation (4 Marks) QUESTION TWO (20 MARKS) a) What do you understand by the following terms? i. Customer Life Time Value? (3 Marks) ii. Customer Retention (2 Marks) b) Clearly explain why Customer Satisfaction is important (10 Marks) c) Briefly describe the levels involved in Customer Relationship Building (5 Marks) QUESTION THREE (20 MARKS) a) What are the key challenges when implementing CRM systems for organizations? (8 Marks) b) Distinguish Analytical CRM and Operational CRM (6Marks) c) Describe the following models of Customer Relationship management i. IDIC model (3 Marks) ii. PAYNES Five Process Model (3 Marks) QUESTION FOUR (20 MARKS) a) State three elements of CRM, briefly explaining each of then. (4 Marks) b) Describe three types of customers. (6 Marks) c) Explain five benefits of E-CRM. (10 Marks) QUESTION FIVE (20 MARKS) a) What is Data Management? Discuss different types of data (8 Marks) b) Explain how social networking helps maintain better relationships with customers (6 Marks) c) Organizations have the option of implementing either On-Premise CRM or Hosted CRM. Explain at least Two advantages and Two disadvantages of each? (6 Marks Marks)

UNIVERSITY EXAMINATIONS: 2018/2019 EXAMINATION FOR THE CERTIFICATE IN INFORMATION TECHNOLOGY CIT104 INTRODUCTION TO INFORMATION SYSTEMS FULLTIME/PARTIME DATE: NOVEMBER, 2018 TIME: 2 HOURS INSTRUCTIONS: Answer Question ONE AND any other TWO questions. QUESTION ONE a) Describe how a computer is used in i) Communication ii) Industry iii) Reservation system iv) Banking (4Marks) b) i) Convert 617328 to base 10. ii) Convert the hexadecimal AD3B to decimal iii) Convert 47328 to base 2. iv) Convert 47328 to base16 (4Marks) c) Discuss any four impacts of computers in the society. (4Marks) d) Give four advantages of using word processor over type writer. (4Marks) e) What is a computer virus? And give three examples of viruses. (4Marks) f) Explain two precautions that can be taken to help recover data loss through accidental erasure. (4Marks) g) Explain three threats to data and information. (6Marks) QUESTION TWO a) Differentiate between Information system and information technology. (2Marks) b) Explain the components of an information system. (4Marks) c) Discuss the major roles of the information systems in business. (6Marks) d) Discuss any four types of information systems in supporting and enabling business core processes. (8Marks) QUESTION THREE a) Define what a computer system is. (2Marks) b) Describe the distinguishing characteristics of the following memory types: ROM and RAM. (4Marks) c) Define the term operating system and outline four functions of operating system. (8Marks) d) Explain any four classifications of input devices citing examples. (4Marks) e) Explain four factors to consider while selecting a computer hardware and software. (2Marks) QUESTION FOUR a) Explain any three advantages and disadvantages of automated processing. (6Marks) b) Discuss any three problems with the use of internet within organizations. (6Marks) c) Explain the two functions of networks. (2Marks) d) Outline three types of network topologies, giving each its advantage and disadvantages. (6Marks) QUESTION FIVE a) Highlight three application areas of spreadsheet. (3Marks) b) Explain three functions of database management software. (3Marks) c) Distinguish between internet and World Wide Web. (3Marks) d) Describe the following terms as they are used in the internet. i) Surf ii) Downloading iii) Inbox (3Marks) e) Explain four computer crimes and control measures of preventing. (8Marks)

CIT104  INTRODUCTION TO INFORMATION SYSTEMS KCA Certificate Past Paper CITCBIT101  CUSTOMER RELATIONSHIP MANAGEMENT KCA Certificate Past Paper CBIT102  BUSINESS INFORMATION MANAGEMENT KCA Certificate Past Paper CBIT0104  BUSINESS AND ENTERPRISE MANAGEMENT KCA Certificate Past Paper CIT101  COMPUTER AND SOCIETY KCA Certificate Past Paper CIT102  FOUNDATION PHYSICS AND ELECTRICITY FOR IT KCA Certificate Past Paper CIT103  CBIT103  INTERNET AND THE WEB KCA Certificate Past Paper

UNIVERSITY EXAMINATIONS: 2016/2017 EXAMINATION FOR THE CERTIFICATE IN BRIDGING MATHEMATICS MAT104 PROBABILITY AND STATISTICS DATE: DECEMBER, 2016 TIME: 1 ½ HOURS INSTRUCTIONS: Answer Question ONE and any TWO questions. QUESTION ONE a) Explain the following terms: i) Statistics (2 Marks) ii) Probability (2 Marks) ii) The price of a commodity increased by 15% between 2010 and 2012 but decreased by 8% between 2012 and 2015. Using the price relative concepts or otherwise, determine the percentage change in price between 2010 and 2015. (4 Marks) iv) Consider the following data: Using the data compute: – The mean height (3 Marks) – The standard deviation of these heights (5 Marks) – The forth decile of the heights (4 Marks) v) A dice is such that two of its faces are painted green and the rest yellow. The dice is used in a game such that if you get a green face you win Ksh 50 while if you get a yello face you loose Ksh 30. If the game is played by tossing the dice twice, find how much would one expect to win in such a game. (5 Marks) vi) The following table show the probability distribution of a random variable X: Find: – The probability of X being greater than zero (2 Marks) – The mean of X (3 Marks) QUESTION TWO a) The following data relates to the cost of living in two major cities in Kenya: Item Kisumu Mombasa Weight Using the price relative concept determine the cost of living index taking Kisumu as the base city and comment on the results. (10 Marks) b) The following data was collected by CBM students on Kasarani road as they were doing some field work on the different modes of transport along the highway: Mode of transport No. Observed Use a pie chart to represent the above information (10 Marks) QUESTION THREE a) Consider the following data Class frequency 0- 9,999.9 4 10.000- 19,999.9 7 20,000- 29,999.9 5 30,000- 39,999.9 4 40,000- 49,999.9 3 50,000- 59,999.9 8 60,000- 69,999.9 3 70,000- 79,999.9 5 80,000- 89,999.9 3 90,000- 99,999.9 2 From the data compute: i) The mean using coding method and taking 64,999.95 as the assumed mean. (5 Marks) ii) The standard deviation using coding method and the same assumed mean in (i) above (5 Marks) iii) The sixth decile (5 Marks) iv) The thirty second percentile (5 Marks) QUESTION FOUR The following table shows the performance of 80 students in a mathematics exam: Marks No of students 1 – 10 3 11 – 20 5 21 – 30 5 31 – 40 9 41 – 50 11 51 – 60 15 61 – 70 14 71 – 80 8 81 – 90 6 91 – 100 4 Required: i) Draw a cumulative frequency curve for the above data (10 Marks) ii) Use the graph to estimate: – The median (2 Marks) – The inter-quartile range (2 Marks) – The pass mark if 40 percent of the students were to be successful (2 Marks) iii) Using computation estimate the position of a student who scored 63 points (4 Marks) QUESTION FIVE a) There are two baskets, basket A and basket B. Basket A contains 6 red beads while basket B contains 8 yellow beads. Christine picks a basket at random and picks two beads at random one after the other from the picked basket and hands them to her brother Ken. i) Draw a probability tree diagram to represent this information (4 Marks) ii) Find the probability that Ken receives: – Two red beads (2 Marks) – Two different color beads (2 Marks) b) i) Define the term: – Set (2 Marks) – Overlapping of sets (2 Marks) ii) A medical research group in a hospital is investigating the effectiveness of the three tests for a certain disease, T1, T2 and T3. When 300 people with the disease were given the test, it was found that: – 54 reacted to all tests – 147 reacted to T1 – 128 reacted to T2 – 182 reacted to T3 – 69 reacted to T1 and T2 – 75 reacted t0o T2 and T3 – 89 reacted to T1 and T3 Required: i) Represent this information on a Venn diagram (4 Marks) ii) How many people reacted to T3 only? (2 Marks) iii) How many people reacted to none of these tests? (2 Marks)

UNIVERSITY EXAMINATIONS: 2016/2017 EXAMINATION FOR THE CERTIFICATE IN BRIDGING MATHEMATICS MAT102 GEOMETRY DATE: DECEMBER, 2016 TIME: 1 ½ HOURS INSTRUCTIONS: Answer Question ONE and any TWO questions. QUESTION ONE a) A surveyor sets up a theodolite some distance from a pylon and finds that the angle of elevation to the top of the pylon to be 25°. He then moves 50 metres nearer and observes that the angle of elevation to be 50ᶿ. Find the height of the pylon assuming the instrument has a height of 1.8 metres. (6 Marks) b) Solve triangle ABC using the cosine rule: a= 12cm, b= 9cm and angle C= 118°. (6 Marks) c) Calculate the interior angles of a regular polygon with 12 sides. (4 Marks) d) Two of the exterior angles of a polygon are 63° each while the remaining are each 26°. How many sides does the polygon have? (4 Marks) e) Find the diameter of a circumscribing circle of triangle ABC such that A= 75°, B= 48° and a= 21 cm. (4 Marks) f) A ship which can travel at 10 knots is at a point with the latitude 40°S, longitude 30°W. Find the time taken for the ship to reach the equator. (6 Marks) QUESTION TWO a) Solve triangle ABC using sine rule given A= 61°, B= 71° and b= 91 mm (6 Marks) b) A ship sends a radio message saying it is in distress and giving its position as (50°N, 20°W). The signal is picked up by a ship A at (50°N, 15°W) and a ship B at (53°N, 20°W). Both ships can move at the speed of 20 knots i) Calculate the length of time each ship will take to the distressed ship, assuming A sails due west and B sails due south. (6 Marks) ii) If the distressed ship is drifting due east at 4 knots, find the new position it should radio 5 hours later (4 Marks) c) The longitude of Moshi in Tanzania and Lucknow in India are 38°E and 81°E respectively. What will be the time in Lucknow when it is noon in Moshi. (4 Marks) QUESTION THREE a ) Prove the identities: i) Cos2 X- Sin2 X = 1 – 2Sin2 X (5 Marks) ii) Cos2 X – Sin2 X = 2Cos2 X – 1 (5 Marks) b) a2= b2+ c2 – 2bc Cos A. Using a suitable explanations and diagram prove it (10 Marks) QUESTION FOUR a) The angles of a quadrilateral are x, 5x, 4x and 2x. Find the value of these angles. (6 Marks) b) Explain THREE characteristics that can prove that two triangles are congruent. (6 Marks) c) Generate the trigonometric ratios of special angles 30° and 60° without calculator computation (hint: use a triangle) (8 Marks) QUESTION FIVE The figure above shows a pyramid VABCD with a square base of 10cm and each of its slanting edge 15 cm long. O is the centre of the base. Calculate: i) The length of OB (5 Marks) ii) The height VO (5 Marks) iii) The angle between VB and the base (5 Marks) iv) The angle between the plane VAB and the base (5 Marks)

MAT 102 Geomerty MAT 104 Probability and Statistics

UNIVERSITY EXAMINATIONS: 2016/2017 EXAMINATION FOR THE DIPLOMA IN BUSINESS INFORMATION TECHNOLOGY CBIT 0101 CIT 100 CUSTOMER RELATIONSHIP DATE: AUGUST, 2017 TIME: 2 HOURS INSTRUCTIONS: Answer Question One & ANY OTHER TWO questions. QUESTION ONE (30 MARKS) – COMPULSORY a) Define CRM in your own words (2 Marks) b) Discuss the characteristics of the four types of CRM and outline how they benefit an organization. (12 Marks) c) A relationship can be defined as a series of interactive episodes between dyadic parties over time. i. Discuss why companies and customers are sometimes motivated to establish and maintain relationships with each other, and sometimes not. (12 Marks) ii. Evaluate the importance of customer lifetime value measurement in this context. (4 Marks) QUESTION TWO (20 MARKS) a) Discuss the five major phases in a CRM implementation and outline the importance of project management and change management throughout the implementation process. (20 Marks) QUESTION THREE (20 MARKS) a) As a business owner: i. What do you measure in Behavioural loyalty and Attitudinal loyalty (5 Marks) ii. Describe one model you can use to measure both behavioural and attitudinal loyalty. (5 Marks) b) Discuss 3 ways in which Sales Force Automation benefits a business. (6 Marks) c) Sales Force Automation applications offer a range of functionality. Identify one SFA application and discuss its functionality. (4 Marks) QUESTION 4: (20 MARKS) a) Internet marketing software enables users to perform a wide range of online activities designed to generate website traffic and make it profitable (Buttle, 2009). Identify and discuss 3 internet marketing activities that a small business can undertake at low cost. (6 Marks) b) What 2 benefits do businesses get from data mining? (4 Marks) c) Francis Buttle (2009) states that customer service can be experienced at any stage of the customer activity cycle: before, during or after purchase. Justify this statement by giving a valid argument for and suitable examples. (10 Marks) QUESTION 5: (20 MARKS) a) Fred Wiersema has researched the attributes that companies renowned for excellent customer service have in common (Buttle, 2009). Identify 3 of these attributes. (6 Marks) b) What is the difference between a contact centre and a call centre? (4 Marks) c) Discuss 3 differences between Key Account Management and normal business- to- business account management. (10 Marks)

UNIVERSITY EXAMINATIONS: 2016/2017 EXAMINATION FOR THE DIPLOMA IN BUSINESS INFORMATION TECHNOLOGY CIT 0104: INTRODUCTION TO INFORMATION SYSTEM CBIT 0100 INTRODUCTION TO COMPUTING DATE: AUGUST, 2017 TIME: 2 HOURS INSTRUCTIONS: Answer Question One & ANY OTHER TWO questions. QUESTION ONE [30 MARKS] – COMPULSORY a) Define the following terms as they apply to Business information technology: – i. Computer ii. Operating System iii. Data iv. Information (4 Marks) b) Briefly explain four functions of the operating system (4 Marks) c) Perform the computation below: – i. 23110 to binary ii. E4AB16 to octal (4 Marks) d) What are the key components to set up a computer network? (2 Marks) e) Explain the following types of network topology with diagrams i. Bus topology ii. Star topology iii. Mesh topology (3 Marks) f) Describe the key features of the first four Generation of Computers (4 Marks) g) Explain why you would advise County Governments to embrace computerization (5 Marks) h) With the help of a diagram, describe the main components of a computer architecture. (4 Marks) QUESTION TWO [20 MARKS] a) State and explain the reasons why organizations should implement Electronic Commerce for Business purposes. (2 Marks) b) What is the importance of having a network in an organization (3 Marks) c) Distinguish between: – i. System software and application software while giving examples ii. Volatile storage and non-volatile storage while giving example (4 Marks) d) Outline 5 benefits of the internet to the society (5 Marks) e) Discuss 3 security threats that information can be exposed to and explain why it’s necessary to secure data and information. (6 Marks) QUESTION THREE [20 MARKS] a) Highlight three ways of preventing a computer from being attacked by a virus. (3 Marks) b) Explain three main views for slides in Ms PowerPoint. (3 Marks) c) What is the role of the following devices in computer systems i. Motherboard ii. Memory iii. Modem iv. Network interface Card (NIC) (4 Marks) d) State and explain any 5 impacts of computers to the society (5 Marks) e) Convert the following number system: – i. 4310 to base 2 ii. 5688 to base 16 iii. 100111012 to base 10 (3 Marks) f) State and explain factors that influence performance of a CPU. (2 Marks) QUESTION FOUR [20 MARKS] a) Give keyboard shortcut that will be used to achieve the following in word-processing. i. Copy a selected text ii. Paste the selected text iii. Cut a selected text (3 Marks) b) The internet is the largest network used to facilitate E-Business and E-Commerce. Explain the challenges posed by the use of the internet. (4 Marks) c) There are ten employees in a local estate agent office. Each employee uses a networked PC on a Local Area Network (LAN). Give TWO benefits to the office of using a network rather standalone PCs. (3 Marks) d) Define the following features found in spreadsheets. i. Sheet tab ii. Formula bar iii. Name box (3 Marks) e) Explain the advantage of Database management software. (3 Marks) f) Explain how a Management Information system helps support decision making in an organization. (4 Marks) QUESTION FIVE [20 MARKS] a) Discuss any five threats to information systems and suggest how each can be controlled to enhance the quality and security of information. (10 Marks) b) Discuss the social, ethical and quality of life issues raised by use of information systems in an organization. (10 Marks)

UNIVERSITY EXAMINATIONS: 2016/2017 EXAMINATION FOR THE CERTIFICATE IN BRIDGING MATHEMATICS MAT105 GRAPHS DATE: AUGUST, 2017 TIME: 2 HOURS INSTRUCTIONS: Answer Question One & ANY OTHER TWO questions. QUESTION ONE [30 MARKS] – COMPULSORY a) Given f(x)= x2 -2x+1 , find f(6) using a graph. [6 Marks] b) Graph the following functions: i. f(x)= |x| ii. f(x)= x+2 [6 Marks] c) Solve the simultaneous equations below using graphical method and determine the gradient of each line: 3x-6y=10 2x+5y=4 [4 Marks] d) Discuss three uses of graphs in the information and communication technology [4 Marks] e) A calculator company produces a scientific calculator and a graphing calculator. Long-term projections indicate an expected demand of at least 100 scientific and 80 graphing calculators each day. Because of limitations on production capacity, no more than 200 scientific and 170 graphing calculators can be made daily. To satisfy a shipping contract, a total of at least 200 calculators much be shipped each day. If each scientific calculator sold results in a $2 loss, but each graphing calculator pro- duces a $5 profit, how many of each type should be made daily to maximize net prof- its? [6 Marks] f) Explain the meaning of the following terms as used in graphs [4 Marks] i. Y intercept ii. Gradient iii. Parabola simultaneous iv. gradient QUESTION TWO a) Find the equation of as straight line passing through a point A(2,0) and perpendicular to another line y=4x+1 [6 Marks] b) The table below shows the time and distance covered by a car. i. Draw a graph for the above information using a scale of 1cm to represent 1 min and 2 cm to represent 1km. ii. From your graph , estimate (by drawing a tangent) the speed of the train in km/min when the train has traveled 6km. [10 Marks] c) Differentiate between functions and equations. [4 Marks] QUESTION THREE a) Solve the equation y=(3x+1)(2x-5)for the domain- -4 ≤x ≤4 [6 Marks] b) A company invests in particular project and it has been estimated tht after x months of running the cumulative profit (Sh. 000) from the project is given by the function 31.5x-3×2 -60 where x represent time in months. The project can run for a maximum 9 months. i. Draw a graph which represents the profit function [6 Marks] ii. Calculate the breakeven time points for the project [4 Marks] iii. What is the initial cost of the project [2 Marks] iv. Use the graph to estimate the best time to end the project. [2 Marks] QUESTION FOUR 3 a) Draw the graph of y =sin x y =cos x QUESTION FIVE a) Discuss the following terms [8 Marks] i) Cartesian plane ii) Line of symmetry iii) Quadratic equations and cubic equations iv) Polynomial equations b) A furniture factory manufactures two types of coffee table, A and B. Each table goes through two distinct stages, assembly and finishing. The maximum capacity for assembly is 195 hours and for finishing is 165hours. Each A table requires 4 hours assembly and 3 hours finishing while a B table requires 1 hour for assembly and 2 hours for finishing. Calculate the number of A and B tables to be produced to ensure that the maximum capacity available is utilized. [12 Marks

UNIVERSITY EXAMINATIONS: 2016/2017 EXAMINATION FOR THE CERTIFICATE IN BRIDGING MATHEMATICS MAT104 PROBABILITY & STATISTICS DATE: AUGUST, 2017 TIME: 2 HOURS INSTRUCTIONS: Answer Question One & ANY OTHER TWO questions. QUESTION ONE [30 MARKS] – COMPULSORY The table below shows the distribution of the wages in a week for 25 employees in a certain factory: a) Using Ksh 11,499.5 per week as the assumed mean wage, compute: i) The mean of the group’s wages (4 Marks) ii) The standard deviation of the wages (6 Marks) b) Estimate the median wage (5 Marks) c) Estimate the earning of a person earning sh 10,500 if workers are ranked in ascending order of earnings. (5 Marks) d) A basket contains 7 ripe mangoes and 4 unripe ones. Two mangoes are picked randomly one at a time and given to baby Natalie unless if unripe in which case is returned back into the basket: i) Draw a probability tree diagram to represent this information (4 Marks) ii) Find the probability that the two mangoes picked are ripe (3 Marks) iii) The probability that at least one is ripe (3 Marks) QUESTION TWO [20 MARKS] a) A card is picked randomly from a pack of 52 playing cards. What is the probability that it is? i) A Queen or Clover (3 Marks) ii) A ten or Diamond (3 Marks) b) The following data was collected by CBM students relating to the number of different motor vehicles that passed through Thika road on a particular day: Type of vehicle Number observed Car 40 Lorries 20 Buses 10 Tuk tuks 15 Trailers 15 Use a bar chart to represent the above information (10 Marks) c) A dice is such that two of its faces are painted green and the rest yellow. The dice is used in a game such that if you get a green face you win Ksh 1,000 while if you get a yellow face you lose Ksh 400. If the game is played by tossing the dice twice, find how much one would expect to earn in such a game (4 Marks) QUESTION THREE [20 MARKS] a) The price of a commodity decreased by 15% between 2009 and 2014 but increased by 24% between 2014 and 2017. Using the price relative concepts determine the percentage change in the price of the commodity between 2009 and 2017. (4 Marks) b) The following table shows the monthly cost of living in two estates, South A and South B in Eldoret in year 2016 and the significance/weight of each commodity: Washington Gathuki Mundu is trying to establish where to reside at the lowest cost possible. Taking South A as the base estate, compute the composite/cost of living index and advise him accordingly. (10 Marks) c) A discrete random variable X takes the following values with the corresponding probabilities: Find: i) The value of k (2 Mark) ii) P(x˃0) (2 Mark) iii) Mean of x (2 Marks) QUESTION FOUR [20 MARKS] The data below reflects the measurements of wheat production produced in different factoties in the Rift Valley province Weight No of times produced 0 9999.5 5 10,000 – 19,999.5 6 20,000 – 29,999.5 4 30,000- 39,999.5 7 40,000 – 49,999.5 5 50,000 – 59,999.5 6 60,000 – 69,999.5 4 70,000 – 79,999.5 3 Compute: i) The mean using coding method and 64,999.75 as the assumed mean (5 Marks) ii) The standard deviation using coding and 64,999.75 as the assumed mean (5 Marks) iii) Compute the mode of the data (5 Marks) iv) Compute the median of the data (5 Marks) QUESTION FIVE [20 MARKS] a) A couple has 0.39 chance of getting a baby boy at Any one delivery. The couple intends to have FOUR children. Let X represent the possible number of boys at any one delivery. i) Generate the probability distribution table of X (6 Marks) ii) Hence the expected number of boys in this family. (4 Marks) iii) What is the probability of having at least 2 boys? (2 Marks) b) A biased coin is such that the on any toss, getting a tail is thrice as likely as getting a head. If the coin is tossed 10 times, find the probability that: i) Exactly four heads appear (2 Marks) ii) Exactly six heads appear (2 Marks) iii) At least two heads appear (4 Marks

UNIVERSITY EXAMINATIONS: 2016/2017 EXAMINATION FOR THE CERTIFICATE IN BRIDGING MATHEMATICS MAT103 CALCULUS DATE: AUGUST, 2017 TIME: 2 HOURS INSTRUCTIONS: Answer Question One & ANY OTHER TWO questions. QUESTION ONE a) Differentiate the following expressions with respect to the independent variables b) Determine Determine i) The distance travelled after 6 seconds (4 Marks) ii) The velocity of the particle after 3 seconds (3 Marks) iii) The acceleration of the particle after 4 seconds (3 Marks) QUESTION TWO a) A stone is thrown vertically upwards at a velocity of 20m/s. Assuming no air resistance, find / determine; i) The velocity at the highest point reached (2 Marks) ii) The time it takes to reach this highest point (3 Marks) iii) The distance from the ground to the highest point reached (3 Marks) iv) the velocity after 1.5seconds (3 Marks) b) determine the area bounded within the curve y = x2 +3x + 2 and the x – axis between x = 3 and x = 5 (9 Marks) QUESTION THREE QUESTION FOUR a) Define the following terms as used in calculus i) Calculus (2 Marks) ii) Variable (2 Marks) iii) Function (2 Marks) iv) Limit (2 Marks) b) Briefly discuss the following types of functions. Use graphical sketches for each i) Linear function (3Marks) ii) Quadratic functions (3 Marks) iii) Exponential functions (3 Marks) iv) Logarithmic functions (3 Marks) QUESTION FIVE