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    Develop Probability Distribution

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    A technician services machines as companies in the Phoenix area. Depending on the type of malfunction, the service call can take exactly 1, 2, 3, or 4 hours. The different types of malfunctions occur at the same frequency.

    a. Develop a probability distribution for the duration of a service call.

    Duration of Call (x) f(x)

    b. Show that your probability distribution satisfies the conditions required for a discrete probability function.
    f(1) + f(2) + f(3) + f(4) =

    c. What is the probability that a service call will take three hours?

    d. What is the probability that a service call will take more than two hours?

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    This solution helps with problems regarding probability distributions.