A boat capsized and sank in a lake. Based on an assumption of a mean weight of 136 lb, the boat was rated to carry 50 passengers (so the load limit was 6,800 lb). After the boat sank, the assumed mean weight for similar boats was changed from 136 lb to 172 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 179.9 lb and a standard deviation of 37.9 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 136 lb