Question

Assume automobile arrivals at a gasoline station are poisson and occur an average rate of 50/hour. The station has only one gasoline pump.If all cars are assumed to require one minute to obtain fuel.What is the probability that a waiting line will occur at the pump?

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

From the data of the problem, we have

λ = 10/8 = 5/4 sets per hour; and μ = (1/30) 60 = 2 sets per hour

(a) Expected idle time of repairman each day = Number of hours for which the repairman remains busy in an 8-hour day (traffic intensity) is given by

(8) (λ/μ) = (8) (5/8) = 5 hours

Hence, the idle time for a repairman in an 8-hour day will be: (8 – 5) = 3 hours.

(b) Expected (or average) number of TV sets in the system