Solved: You are setting up a simulation to analyze the process of students waiting in line for the

You are setting up a simulation to analyze the process of students waiting in line for the 3-D printer at the campus library. Which probability distributions are most likely to realistically describe the student arrival rate and the printing time?

b. Exponential distribution for the student arrival rate and a normal distribution for the printing time.
a. Exponential distributions for both the student arrival rate and the printing time.
d. Poisson distribution for the student arrival rate and exponential distribution for the printing time.
e. Normal distribution for the student arrival rate and uniform distribution for the printing time.
c. Exponential distribution for the student arrival rate and Poisson distribution for the printing time.

Expert Answer

For Arrival of students Poisson distribution will be used where average arrival rate is constant for some number of time period and number of arrivals in each time period is independent of each other .

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On the other hand the Service time ( which is printing process in this case) can be determined basis exponential distribution with specific average service time.

Therefore the correct choice would be “d. Poisson distribution for the student arrival rate and exponential distribution for the printing time “

ANSWER : POISSON DISTRIBUTION FOR THE STUDENT ARRIVAL RATE AND EXPONENTIAL DISTRIBUTION FOR THE PRINTING TIME

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