A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 0.9, 1.8, 2.7, or 3.6 hours. The different types of malfunctions occur at the same frequency. If required, round your answers to two decimal places. a. Develop a probability distribution for the duration of a service call. Duration of Call f(x) 0.9 b. Which of the following probability distribution graphs accurately represents the data set? 0.30(1( * ) 2. 0.30 ( 1 x ) 0.20- 0.20 0. 10 0.10 P 0.9 1.8 2.7 3.6 0.9 1.8 2.7 3.6 m 0.204 . . 0. 10 . 0.9 1.8 2.7 3.6 - Select your answer - c. Consider the required conditions for a discrete probability function, shown below. f(z) 20 (5.1) Ef(I) = 1' (5.2) Does this probability distribution satisfy equation (5.1)? - Select your answer - Does this probability distribution satisfy equation (5.2)? - Select your answer - d. What is the probability a service call will take 2.7 hours? e. 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