It is reasonable to model the number of winter storms in a s

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 3, and that in a bad year the average is 6. If the probability that next year will be a good year is 0.3 and the probability that it will be bad is 0.7, find the expected value and variance in the number of storms that will occur.

expected value = ?

variance = ?