The average weight of an airline passenger’s suitcases is 45 pounds with a stand

Question

The average weight of an airline passenger’s suitcases is 45 pounds with a standard deviation of 2 pounds. If 16% of the suitcases are overweight, find the maximum weight allowed by the airline. Assume the variable is bell- shaped distributed. Hint: sketch and label a normal model to help answer the question. The average weight of an airline passenger’s suitcases is 45 pounds with a standard deviation of 2 pounds. If 16% of the suitcases are overweight, find the maximum weight allowed by the airline. Assume the variable is bell- shaped distributed. Hint: sketch and label a normal model to help answer the question.

Explanation / Answer

mu= 45

sigma= 2

X= unknown

16% overweight means 84% suitcases will pass without any problem.

probability=0.84

z-score for probability 0.84 =0.994457

Z=(X-mu)/sigma

x=(mu+Z*sigma)

x=45+2*0.9944

x=46.98891

rounded answer is 46.989 pounds

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we can solve it without sketching.

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