172. The number of severe storms that strike city J in a year follows a binomial distribution
with n = 5 and p = 0.6. Given that m severe storms strike city J in a year, the number
of severe storms that strike city K in the same year is m with probability 1/2, m +1
with probability 1/3, and m + 2 with probability 1/6.
Calculate the expected number of severe storms that strike city J in a year during which 5
severe storms strike city K.
(A) 3.5
(B) 3.7
(C) 3.9
(D) 4.0
(E) 5.7
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