A boat capsized and sank in a lake. Based on an assumption of a mean weight of 141 lb, the boat was rated to carr: 60 passengers (so the load limit was 8,460 lb). After the boat sank, the assumed mean weight for similar boats was changed from 141 lb to 170 lb. Complete parts a and b below. E) 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 177.5 lb and a standard deviation of 36.4 lb. Find the probability that the boat is overloads because the 60 passengers have a mean weight greater than 141 lb. The probability is D. (Round to four decimal places as needed.)