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 2, and that in a bad year the average is 4. If the probability that next year will be a good year is 0.2 and the probability that it will be bad is 0.8, find the expected value and variance in the number of storms that will occur.

expected value =
variance =