all GH Vodafone LTE 10:16 AM @ 34% C GCTU C-S CHATROOM Exa... Page 2 of 5 SECTION B: 50 MARKS Answer QUESTION ONE (30 marks) and any other question (20 marks) Question One a. The data below represent the weight (kg) of 36 boxes of consignment for stocking a shop. 81 90 70 85 71 62 61 89 66 50 78 99 79 82 67 62 62 74 51 60 73 69 63 76 80 60 71 68 50 65 61 58 62 51 a. What type of raw data is illustrated above? Explain your answer. [2 marks] b. Construct a grouped frequency distribution table of five (5) classes with the lowest class limit of 50 for the above data (show all steps used). [8 marks] c. On your frequency distribution table in a) above, indicate the midpoint, relative frequency, class boundary and cumulative frequency for each class. [4 marks] d. Use the table in a) above to find the i. Mean [4 marks] ii. Range [2 marks] iv. Mean deviation [4 marks] B. The monthly expenditure of a family was observed to be normally distributed with mean of Ghc400 and standard deviation of Ghc20. If Ghe450 is budgeted for a month, what is the probability that the actual expenditure will a. be less than the budgeted amount? [3 marks] b. exceed the budgeted amount? (3 marks] Question Two The table below shows the probability distribution of the number of children per household (x) during an economic survey. X 0 2 3 4 5 p(x) 0.18 0.30 0.24 0.14 0.10 0.04 a. Confirm that the random variable x, is discrete. [3 marks] b. Find the expected value of the random variable x, E(x). [4 marks] Page 3 of 5 c. Find the standard deviation of the random variable, x. [5 marks] d. Find the probability that a household selected at random has