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...

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.


(b) What is the probability that the sample contains exactly three male employees?


(c) Justify the suitability of the probability distribution that you used to solve part (a).


(d) What is the expected number of male employees in the sample?