Question: The probability that an eagle kills a jackrabbit in a day of hunting is 10%. Assume that results are independent between days. (a) What is

The probability that an eagle kills a jackrabbit in a day of hunting is 10%. Assume that results are independent between days.

(a) What is the distribution of the number of days until a sac- cessful jackrabbit hunt?

(b) What is the probability that the eagle must wait five days for its first successful hunt?

(c) What is the expected number of days until a successful hunt?

(d) If the eagle can survive up to 10 days without food (it requires a successful hunt on the tenth day), what is the probability that the eagle is still alive 10 days from now?

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