Aboat capsized and sank in a lake. based on an assumption of a mean weight of 149 lb, the boat was rated to carry 60 passengers (so the load limit was 8 comma 940 lb). after the boat sank, the assumed mean weight for similar boats was changed from 149 lb to 175 lb. complete parts a and b below.

a. assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 182.5 lb and a standard deviation of 40.4 lb. find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 149 lb. the probability is