Question

Black-footed cats have an incredibly high hunting success rate among predators. For every hunting attempt, the probability that the cat successfully makes a kill is 0.6. Assume that a cat makes 10 hunting attempts every night and that each attempt is independent of one another.

A.) On a given night, what is the exact probability that a black-footed cat makes at least 8 successful kills?

B.) In a 30-night period, hence a total of 300 hunting attempts, what is the approximate probability that at least 2/3 of the hunts were successful.

C.) How man hunting attempts must the black-footed cat make before the standard deviation of the sample proportion of kills is at most 0.042?

Answer 1