試題詳解

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