Question: please solve this using QM When additional band members arrived to help at the car wash (see Problem 13-32), it was decided that two cars

please solve this using QM

When additional band members arrived to help at the car wash (see Problem 13-32), it was decided that two cars should be washed at a time instead of just one. Both work crews would work at the same rate.

(a) What is the average time for cars waiting in the line?

(b) What is the average number of cars in the line?

(d) What is the average time in the system?

(this was problem 32: The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The av- erage time to wash a car is 4 minutes, and the time is exponentially distributed. Cars arrive at a rate of one every 5 minutes (or 12 per hour), and the number of arrivals per time period is described by the Poisson distribution. (a) What is the average time for cars waiting in the line? (b) What is the average number of cars in the line? (c) What is the average number of cars in the system? (d) What is the average time in the system? (e) What is the probability there are more than three cars in the system?)

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