Question: Suppose that the probability that a duck hunter will successfully hit a duck is .25 on any given shot. He decides to hunt until he

Suppose that the probability that a duck hunter will successfully hit a duck is .25 on any given shot. He decides to hunt until he has hit 4 birds,

(a) What is the expected number of shots that he will have to take?

(b) What is the probability that he will take more than 10 but fewer than 15 shots?

(c) If he only has enough ammunition for 20 shots, what is the probability that he will run out of ammunition before he hits 4 ducks?

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