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 malfunction occur at about the same frequency.
A. Develop a probability distribution for the duration of a service call.
B. Draw a graph of the probability distribution.
C. Show that your probability distribution satisfies the conditions required for a discrete probability function.
D. What is the probability a service call will take 3 hours?
E. A service call has just come in, but the type of malfunction is unknown. It is 3:00 PM 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?