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

  1. Develop a probability distribution for the duration of a service call.
  2. Which of the following probability distribution graphs accurately represents the data set?
    1. Consider the required conditions for a discrete probability function, shown below.



      Does this probability distribution satisfy equation (5.1)?


      Does this probability distribution satisfy equation (5.2)?


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


    3. A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?
Transcribed Image Text:b. Which of the following probability distribution graphs accurately represents the data set? f(x) 0.30 0.20 0.10 1 x 0 1 2 3 4 0.30 f(x) 0.20 0.10 2 x 0 1 2 3 4 f(x) 3 0.30 0.20 0.10 Select x 0 2 3 c. Consider the required conditions for a discrete probability function, shown below. f(x) = 0 Σf(x) = 1 (5.1) (5.2) Does this probability distribution satisfy equation (5.1)? Select Does this probability distribution satisfy equation (5.2)? Select d. What is the probability a service call will take three hours?
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