1. A brokerage survey reported that 30 percent of individuals investors have used a discount broker; that is, one which does not charge the full commission.In a random sample of 9 individuals, what is the probability:

a)Exactly two of the sampled individuals have used a discount broker?

b)Exactly four of the sampled individuals have used a discount broker?

c)At least four of the sample used a discount broker?

d)At most four of the sample used a discount broker?

e)What is the mean number of discount brokers used?

f)What are the standard deviation and variance?

g)If 125 individuals are selected at random what is the expected number of discount brokers that will be used?