Question

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

143

​lb, the boat was rated to carry

70

passengers​ (so the load limit was

10,010

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

143

lb to

174

lb. Complete parts a and b below.

a. Assume that a similar boat is loaded with

70

​passengers, and assume that the weights of people are normally distributed with a mean of

180.2

lb and a standard deviation of

35.2

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

70

passengers have a mean weight greater than

143

lb.The probability is

Answer 1

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-8.84, TRUE)" to find the probability.