It is reasonable to model the number of winter storms in a season as with a Poisson random variable. Suppose that in a good year the average number of storms is 5, and that in a bad year the average is 6. If the probability that next year will be a good year is 0.6 and the probability that it will be bad is 0.4, find the expected value and variance in the number of storms that will occur.
expected value =
variance =