Using the central limit theorem 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 welcit tor 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 boats overoaded because me ou passengers nave a mean weiant greater man 130 lb