Question: 12.6 Random digit dialing. When an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch

12.6 Random digit dialing. When an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch the random digit dialing machine make 15 calls.

(a) What is the probability that exactly 3 calls reach a person?

(b) What is the probability that at most 3 calls reach a person?

(c) What is the probability that at least 3 calls reach a person?

(d) What is the probability that fewer than 3 calls reach a person?

(e) What is the probability that more than 3 calls reach a person?

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