1. In a company, to boost the morale of 200 employees, a weekly event is held where one employee is randomly selected to receive a gift certificate. Each employee has an equal chance of being selected, and the same person can be selected multiple times. Also, the selection in one week is independent of selections in other weeks.(a) Define the probability variable of interest and describe its distribution in order to compute the probability that a randomly selected employee, Mr. A, is chosen at least once during a 52-week period.(b) Calculate the probability that Mr. A is selected at least once during the 52 weeks.(c) Calculate the expected number of gift certificates Mr. A will receive over the 52 weeks.(d) Mr. C claims that the selection process is not random because he did not receive a single gift certificate over the 52 weeks. Explain how to respond to Mr. Cs claim.