boat capsized and sank in a lake. Based on an assumption of a mean weight of

139

lb, the boat was rated to carry

60

passengers (so the load limit was

8,340

lb). After the boat sank, the assumed mean weight for similar boats was changed from

139

lb to

173

lb. Complete parts a and b below.

Question content area bottom

Part 1

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

181.2

lb and a standard deviation of

40.1

lb. Find the probability that the boat is overloaded because the

60

passengers have a mean weight greater than

139

lb.