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    Determine bounds by the normal distribution table

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    The average weight of an airline passenger's suitcase is 45 pounds. The standard deviation is 2 pounds. If 15% of the suitcases are overweight, find the maximum weight allowed by the airline. Assume the variable is normally distributed.

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    Let X be the weight of an airline passenger's suitcase. It is a random variable following a normal distribution N(45,2^2). Let x be the maximum weight allowed by the airline, we know that
    Prob(X>=x)=15%,
    ...

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    This solution contains a detailed explanation of determining bounds by the normal distribution table. The average weight of an airline passenger's suitcase is determined.

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