17.4-8. For each of the following statements regarding service times modeled by

Question

17.4-8. For each of the following statements regarding service times modeled by the exponential distribution, label the statement as true or false and then justify your answer by referring to spe- cific statements in the chapter. (a) The expected value and variance of the service times are al ways equal (b) The exponential distribution always provides a good approxi- mation of the actual service-time distribution when each cus- tomer requires the same service operations. (c) At an s-server facility, s >1, with exactly s customers already in the system, a new arrival would have an expected waiting time before entering service of 141 time units, where is the mean service rate for each busy server.

Explanation / Answer

a)
false
mean and standard deviation are equal not variance
b)

c)
false
Xn = min (X1,X2,..Xs)
Xn follow exponential with parameter s*mu
E(Xn) = 1/(s*mu)

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