Most female black bears have their first mating between the

Most female black bears have their first mating between the ages of 3 and 5 years old. From a large sample of female black bears, we construct the following distribution, for X, the size of a litter.

A) compute the expected size of a litter B) compute the probability that a litter is at most 2 cubs   

Then, suppose that we select 10 litters at random. let Y be the number of litters with at least 2 cubs. A) what is the expected value of the random variable Y? B) what is the probability that Y is at most 3? C) what is the probability that 3 of the litters have exactly one cub?

Solution