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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
Transcribed Image Text: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
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