1.Suppose that a committee of five people is to be selected from a group of eight women and eight men.

a) What is the probability that there will be exactly two women on the committee?

b) What is the probability that there will be at least two women on the committee?

2.The J.O. Supplies Company buys calculators from a foreign supplier. The probability of a defective calculator is 12%. Assume that calculators fail independently of each other.

a) If 3 calculators are selected at random, what is the probability that one of the calculators will be defective?

b) If 10 calculators are selected at random, what is the probability that 3 or more of the calculators will be defective?

c) If 100 calculators are selected at random, what is the expected number of defectives?

d) If 100 calculators are selected at random, what is the standard deviation of the number of defectives?