5 7bn job candidates are sitting in a room waiting to be int

5. 7bn job candidates are sitting in a room waiting to be interviewed. Each candidate is randomly assigned a number from 1 to 10 and the candidates are interviewed in that order one at a time. Following each interview, a job offer is either made or not made to that candidate. If a third job offer is made, the interview process is terminated. Assume the job offer decisions are independent of one another, and each person has the same probability, p = 0.20, of being offered the job. What is were assigned the numbers (a) the probability that only those candidates who 6-10 would not be given the opportunity to be interviewed? (8 pts) (b) What is the probability that only the last candidate (number 10) gets a job offer? (3 Pts) (c) What is the probability that the interview completed with only 2 job oilers process is being made? (6 pts) (d) Suppose this interview process is performed once every day. On average, which candidate number (including possibly none of them) would be the second candidate to offered a job?

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