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

Last updated: 10/23/2023

A boat capsized and sank in a lake Based on an assumption of a mean weight of 149 lb the boat was rated to carry 60 passengers so the load limit was 8 940 lb After the boat sank the assumed mean weight for similar boats was changed from 149 lb to 171 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 8 lb and a standard deviation of 39 1 lb Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 149 lb The probability is Round to four decimal places as needed