Question

An HR manager is interviewing potential employees in order to fill some open positions. The probability of the interviewee having the necessary qualifications and accepting the offer is 0.8.

a) If 20 candidates are available, what is the probability that only five of them are hired?

b) Assume that only one position is available. Manager decided that he would interview the candidates one after the other and quit the interview when he finds the person who is suitable for the job. What is the probability that the interview will be terminated:

i. Before 4th candidate

ii. At the 9th candidate

c) If there are two open positions, what is the probability that:

i. Exactly 4 people must be interviewed

ii. Fewer than 4 people must be interviewed

Answer 1