Response to the following problem:
An analysis of 31 customers at Pat's Pet Shop indicated the following 30 interarrival times (in seconds): 96, 84, 29, 61, 27, 231, 256, 243, 43, 117, 320, 267, 177, 605, 105, 653, 35, 18, 451, 34, 486, 2, 442, 46, 424, 562, 244, 1, 6 , 103.
The mean of this data set is 205.6 seconds, and the standard deviation is 200.08 seconds.
Construct a histogram of collected data. Verify that the exponential distribution is a reasonable distribution to use to model the interarrival time of customers.
(Use the goodness of fit approach )