The Quick Snap photo machine at the Lemon County bus station takes snapshots in exactly 80...
The Quick Snap photo machine at the Lemon County bus station takes snapshots in exactly 80 seconds. Customers arrive at the machine according to a Poisson distribution at the mean rate of 15 per hour. On the basis of this information, determine the following: (Provide formulas)
| a. | the average number of customers waiting to use the photo machine |
| b. | the average time a customer spends in the system |
| c. | the probability an arriving customer must wait for service. |
Homework Answers
Solution :
Given that ,
mean = 
= 15
x = 80
Using Poisson probability formula,
P(X = x) = (e-
*
x ) / x!
P(X = 80 ) = (e-15 * 1580) / 80! =
Probability = 0
Option a ) is correct.
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