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10 November, 21:27

Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy fewer than two tires, with 6% buying none. Construct a cumulative probability distribution for the number of tires bought. (Round your answer to 2 decimal places.)

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  1. 10 November, 21:49
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    A Cumulative probability distribution for the number of tires bought is prepared below.

    Step-by-step explanation:

    We are given that Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy fewer than two tires, with 6% buying none.

    The cumulative probability distribution for the number of tires bought is given by;

    No. of tires Probability Distribution Cumulative Probability

    Distribution

    0 6% 6%

    1 6% 12%

    2 22% 34%

    3 6% 40%

    4 60% 100%

    Now, here we are given within the question а bout:

    P (0 tires) = 6%

    P (2 tires) = 22%

    P (4 tires) = 60%

    Also, P (Fewer than 2 tires) = 12% which means P (0 tires) + P (1 tire) must be equal to 12%. So, P (1 tire) = 12% - 6% = 6%.

    And, in the end P (3 tires) = 100% - 6% - 6% - 22% - 60% = 6%.
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