Benny the Barber owns a one-chair shop. At barber college, they told Benny that

Question

Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of six per hour. It will take Benny an average of 6 minutes to give a haircut.

What is the average utilization of Benny's time? (Round your answer to 2 decimal place.)

Explanation / Answer

In 60 minutes, 6 customers arrive.
In 1 minutes, 6/60 or 1/10 customer arrives.
In 6 minutes, 6/10 =3/5 customers arrive = 0.6

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