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    Probabilities -Solution using Set theory & Contingency Table

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    An insurance company reviews their auto insurance clients and finds the following:

    a) all insure at least 1 car
    b) 85% insure more than 1 car
    C) 23% insure a sports car
    d) 17% insure more than 1 car including a sports car

    find the probability that a client, selected at random insures only one car and it is NOT a sports car.

    Please solve using !. set theory and 2. Contingency table

    © BrainMass Inc. brainmass.com December 24, 2021, 8:07 pm ad1c9bdddf
    https://brainmass.com/statistics/contingency-table/probabilities-solution-using-set-theory-contingency-table-249909

    SOLUTION This solution is FREE courtesy of BrainMass!

    An insurance company reviews their auto insurance clients and finds the following:

    a) all insure at least 1 car
    b) 85% insure more than 1 car
    C) 23% insure a sports car
    d) 17% insure more than 1 car including a sports car

    find the probability that a client, selected at random insures only one car and it is NOT a sports car.

    Please solve using 1. set theory and 2. Contingency table

    (1) n(Insure only one car) = 100 - 85 = 15
    n(Insure only one car which is a sports car) = 23 - 17 = 6
    n(Insures only one car which is not a sports car) = 15 - 6 = 9
    The probability is 9/100 = 0.09

    (2) Contingency Table:
    Insures more than one car Insures one car Total
    Insures a sports car 17 6 23
    Does not insure a sports car 68 9 77
    Total 85 15 100

    The probability is 9/100 = 0.09

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

    © BrainMass Inc. brainmass.com December 24, 2021, 8:07 pm ad1c9bdddf>
    https://brainmass.com/statistics/contingency-table/probabilities-solution-using-set-theory-contingency-table-249909

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