Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system.
-If the number of arrivals in a time period follow a Poisson distribution with mean λ then the inter-arrival times follow a(n) ____ distribution with mean ____.
A) normal; μ
B) constant; λ
C) exponential; λ
D) exponential; 1/λ

Question

Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system. 
-If the number of arrivals in a time period follow a Poisson distribution with mean λ then the inter-arrival times follow a(n) ____ distribution with mean ____.
A) normal; μ 
B) constant; λ 
C) exponential; λ 
D) exponential; 1/λ

Quizplus · Accepted Answer

The inter-arrival times in a Poisson process follow an exponential distribution with a mean of 1/λ, where λ is the average rate of arrivals per time unit.

Exhibit 13.1 The Following Questions Are Based on the Output Below