A boat capsized and sank in a lake. Based on an assumption of a mean weight of 131 lb, the boat was rated to carry 50 passengers (so the load limit was 6,550 lb). After the boat sank, the assumed mean weight for similar boats was changed from 131 lb to 171 lb. Complete parts a and b below. . . . a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 180.8 lb and a standard deviation of 38.1 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 131 lb. The probability is (Round to four decimal places as needed.)