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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 134 lb, the boat was rated to carry 50 passengers (so the load limit was 6,700 lb). After the boat sank, the assumed mean weight for similar boats was changed from 134 lb to 174 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 179.6 lb and a standard deviation of 39.3 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 134 lb. The probability is (Round to four decimal places as needed.)

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 134 lb, the boat was rated to carry 50 passengers (so the load limit was 6,700 lb). After the boat sank, the assumed mean weight for similar boats was changed from 134 lb to 174 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 179.6 lb and a standard deviation of 39.3 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 134 lb. The probability is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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ON A boat capsized and sank in a lake. Based on an assumption of a mean weight of 134 lb, the boat was rated to carry 50 passengers (so the load limit was 6,700 lb). After the boat sank, the assumed mean weight for similar boats was changed from 134 lb to 174 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 179.6 lb and a standard deviation of 39.3 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 134 lb. The probability is (Round to four decimal places as needed.)
Transcribed Image Text:ON A boat capsized and sank in a lake. Based on an assumption of a mean weight of 134 lb, the boat was rated to carry 50 passengers (so the load limit was 6,700 lb). After the boat sank, the assumed mean weight for similar boats was changed from 134 lb to 174 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 179.6 lb and a standard deviation of 39.3 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 134 lb. The probability is (Round to four decimal places as needed.)
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