Solve the following:
Q: 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?