Problem 7 B You''re a quality control engineer for Select Recipe, and you're in charge of the production line for big nasty jars of mustard. You''re examining the operation of P one of the key machines on the shop floor. You collected some data on the following three characteristics of the machine, and you estimated the distributions ' and parameters as follows. ' (1) The interarrival times of jobs (that 1s, the time between arrivals of raw material to the machine) are exponential distributed with a mean of 1.25 minutes. (11) The amount of time the machine operates before breaking down 1s exponential distributed with a mean of 540 minutes. (1) The repair time for the machine is normally distributed with a mean of 40 minutes and standard deviation of 12.5 minutes. a. Find the probability that two jobs arrive for processing at most one minute apart. b. Find the probability that the machine operates for at least 720 minutes (12 hours) before breaking down. c. Find the probability that the repair time for the machine exceeds 70 minutes