1) A car dealership sells 2 cars on average every day. What is the probability that is sells more than 2 cars on three different days in a five-day period? Assume that car sales on any given day are independent of sales on any other day. 2) A personnel director is interviewing candidates for three identical open positions. Only 10% of the candidates are qualified. The director spends 30 minutes on each interview. However, if she finds a good candidate that she wants to hire, she spends an additional 15 minutes discussing the job requirements. Find the expected value of the total time the entire process will take. 3) I.Q. is normally distributed with a mean of 100 and a standard deviation of 15. (i) Find the probability that a randomly selected person has an I.Q. between 90 and 115? (ii) Find the probability that a randomly selected person has an I.Q. less than 55?