Suppose 82% of sales reps in major cities quit after first rejection. A random sample of 37 sales reps is selected. Assuming independence, answer the following binomial probability questions. Report probabilities accurate to at least 4 decimal places. What is the probability that, of the 37 sales reps selected:

a) exactly 30 quit after first rejection?

b) all of them quit after first rejection?

c) at least 29 quit after first rejection?

d) at most 30 quit after first rejection?