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 4, and that in a bad year the average is 6. If the probability that next year will be a good year is 0.4 and the probability that it will be bad is 0.6, find the expected value and variance in the number of storms that will occur

Solution

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

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