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?
