Explore BrainMass

Explore BrainMass

    Normal Distribution

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

    Foreign service employees receive housing allowances when posted abroad. These allowances average $30000 annually. Assume that a normal distribution applies and the standard deviation is $5000.
    A) What is the probability that a diplomat will receive a housing allowance exceeding $35000?
    B) What is the probability that a diplomat will receive a housing allowance between $27800 and $32200?
    C) What percentage of employees will receive allowances between $25000 and $35000?

    © BrainMass Inc. brainmass.com June 3, 2020, 5:06 pm ad1c9bdddf
    https://brainmass.com/statistics/normal-distribution/normal-distribution-14177

    Solution Preview

    Mean=M = $30,000
    Standard deviation =s = $5,000

    A) What is the probability that a diplomat will receive a housing allowance exceeding $35000?

    Mean=M = $30,000
    Standard deviation =s = $5,000
    x= $35,000
    z=(x-M )/s =1 =(35000-30000)/5000
    Cumulative Probability corresponding to z= 1 is 0.8413
    Therefore probability corresponding to x> $35,000 is 1-Prob(Z)= 0.1587 ...

    Solution Summary

    Probability values have been calculated using Normal Distribution

    $2.19

    ADVERTISEMENT