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7. Hunting : The probability that an eagle kills a rabbit in a day of hunting is...

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Basic Math

7. Hunting :

The probability that an eagle kills a rabbit in a day of huntingis 10%. Assume that results are independent for each day.

(a) Write the probability mass function for the number of daysuntil a successful hunt.

(b) What is the probability that the first successful huntoccurs on day five?

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

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

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