Explore BrainMass

Explore BrainMass

    Determine bounds by the normal distribution table

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    © BrainMass Inc. brainmass.com June 3, 2020, 4:53 pm ad1c9bdddf
    https://brainmass.com/statistics/normal-distribution/determine-bounds-normal-distribution-table-6681

    Solution Preview

    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%,
    ...

    Solution Summary

    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.

    $2.19

    ADVERTISEMENT