A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 60 passengers (so the load limit was 8,220 lb). After the boat sank, the assumed mean weight for similar boats was changed from 137 lb to 170 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 179.1 lb and a standard deviation of 38.3 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 137 lb. The probability is 1.0000. (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,720 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 170 (so that their total weight is greater than the maximum capacity of 2,720 lb). The probability is. (Round to four decimal places as needed.) N E

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