Question

Do you dislike waiting in line? supermarket chain kroger has used computer simulation and information technology to reduce the average waiting time for customers at stores. using a new system called quevision, which allows kroger to better predict when shoppers will be checking out, the company was able to decrease average customer waiting time to just seconds (informationweek website and the wall street journal website, january , ).

Answer 1

Part a:

Assume that Kroger waiting times are exponentially distributed, show the probability density function of waiting time at Kroger.

Solution:

Probability density function f(x) = (1/ )*e-x/ = (1/26)*e-x/26 (answer)

Part b:

What is the probability that a customer will have to wait between 15 and 30 seconds?

Solution:

0.2462

Part c:

What is the probability that a customer will have to wait more than 2 minutes?

Solution:

0.0099

Step-by-step explanation:

All the workings are attached.