Question 3 In a large corporation, 65% of the employees are male. A random sample of 5 employees is selected. We wish to determine the probability of selecting exactly 3 males. Use an appropriate probability distribution to answer the following:
(a) Define the variable of interest for this scenario.[1 mark]
(b) What is the probability that the sample contains exactly three male employees? [3 marks]
(c) Justify the suitability of the probability distribution that you used to solve part (a). [2 marks]
(d) What is the expected number of male employees in the sample? [1 mark]
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