Three printers serve faculty at a School. The first floor printer receives 50% o

Question

Three printers serve faculty at a School. The first floor printer receives 50% of all the print jobs, the second floor printer receives 40% of all print jobs, and the color printer receives the remaining 10%. The printers break or jam quite often. The first floor printer jams on 10% of its jobs, the second floor printer jams on 20% of its jobs, and the color printer jams on 8% of its jobs.

a) Create a contingency table for the joint probabilities of which printer a job is sent to and whether or not it causes a jam.

b) A service call was just made for the technician to repair a jammed printer. What is the probability that the call is to repair the first floor printer?

Explanation / Answer

a) JAM No JAM

Printer job 1 0.05 0.45 0.50

Printer job 2 0.08 0.32 0.40

Printer job 3 0.008 0.092 0.10

b) P(first floor printer/JAM)

= (0.10*0.50)/(0.10*0.50+0.20*0.40+0.08*0.10)

= 0.3623

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