A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1.1, 2.2, 3.3, or 4.4 hours. The different types of malfunctions occur at 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 three hours?
e. Aservice 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?