In: Statistics and Probability
Jen observed that 91% of the background checks he processes are for potential employees who have already interviewed. Let X be the number of background checks Jen processes to get his first background check for a potential employee who has not yet interviewed for the job. Assume that the interview statuses are independent.
(a) Find the probability that the 2nd background check that Jen processes is the first for which the potential employee has not yet interviewed.
(b) What is the underlying process for the random variable X?
(c) Suppose Y is the number of potential employees who have already interviewed in a group of 15 employees. How are X and Y different?