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 2,300 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 26 seconds (InformationWeek website) Assume that waiting times at Kroger are exponentially distributed. a. Which of the probability density functions of waiting time is applicable at Kroger? 1 a. f(z) = - e = e* for z > 0 26 1 b. f(z) = - e 1 * for z20 26 1 1 c. f(z) = -e for z<0 26 1 d. f(z) =e for z 20 26 |- Select your answer - v b. What is the probability that a customer will have to wait between 15 and 30 seconds (to 4 decimals)? c. What is the probability that customer will have to wait more than 2 minutes (to 4 decimals)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 2,300 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 26 seconds (InformationWeek website).
Assume that waiting times at Kroger are exponentially distributed.
a. Which of the probability density functions of waiting time is applicable at Kroger?
1
а. f(x) —
er =
for æ >0
e
26
1
b. f(x) =
1
e 26
26
for æ >0
e
1
c. f(x) =
1
for æ <0
e
%3D
e
26
1
d. f(æ) =
1
e =
e 26
for æ >0
26
Select your answer - v
b. What is the probability that a customer will have to wait between 15 and 30 seconds (to 4 decimals)?
c. What is the probability that a customer will have to wait more than 2 minutes (to 4 decimals)?
Transcribed Image Text: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 2,300 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 26 seconds (InformationWeek website). Assume that waiting times at Kroger are exponentially distributed. a. Which of the probability density functions of waiting time is applicable at Kroger? 1 а. f(x) — er = for æ >0 e 26 1 b. f(x) = 1 e 26 26 for æ >0 e 1 c. f(x) = 1 for æ <0 e %3D e 26 1 d. f(æ) = 1 e = e 26 for æ >0 26 Select your answer - v b. What is the probability that a customer will have to wait between 15 and 30 seconds (to 4 decimals)? c. What is the probability that a customer will have to wait more than 2 minutes (to 4 decimals)?
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