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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(x)
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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