307. A company sells insurance policies for which benefit payments made to each
policyholder are independently and identically normally distributed with mean 2475 and
standard deviation 250.
Calculate the minimum number of policies that must be sold for there to be at least a 99%
probability that the average benefit paid per policy will be no greater than 2500.
(A) 24
(B) 542
(C) 664
(D) 5815
(E) 6440