## 8. In Bangladesh, 40% of male smokers smoke cigars. In a randomly selected sample of 20 male smokers, what is the probability that a. (2 mark) exactly 4 of the men smoke cigars? b. (2 marks) at most 3 of the men smoke cigars? c. (2 marks) at least 2 of the men smoke cigars? d. (3 marks) What are the expected value, variance, and standard Deviation of the above random variable?

EXPERT ANSWER Binomial distribution is used when the number of observations n is fixed, each observation is independent and also Each observation has two outcomes either success (p) or failure (q) and the probability of success p is the same for each outcome. Binomial distribution is used when the number of observations n is fixed, …