QUESTION 1

Explain the following concepts:

(a) Population [2 marks]

(b) Sample [2 marks]

(c) Type I and II errors [10 marks]

(d) Cluster sampling [3 marks]

QUESTION 2

(a) The table below represents the subject scores for 144 students. Subject Male (M) Female (F) Total A: Business Ethics 4 14 18 B: 17 41 58 Macroeconomics C: Supply chain 4 25 29 management D: Clinical 28 11 39 Psychology Total 53 91 144 Calculate the following probabilities: (i) Prob (A) [2 marks] (ii) Prob (F) [2 marks] (ii) Prob (A | F) [3 marks] (iv) Prob (F | A) [3 marks] (b) The number of newspapers sold daily at all 7-eleven outlets nationwide is normally distributed with a mean of 350 and a standard deviation of 30. (i) Calculate the probability that less than 300 newspapers are sold in one day [7 marks]. (ii) Determine the number of newspapers that the 7-eleven stores should stock every day such that the probability of running out on any particular day is 10%