The time required to pass through security screening at the airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northerm Kentucky International Airport is 12.1 minutes (The Cincinnati Enquirer, February 2, 2206). Assume the time to pass through security screening follows an exponential distribution. (a) what is the probability you will make it through security in exactly 26 minutes? (Round your answer to three decimal places.) 562 (b) What is the probability it will take less than 15 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) 191 (e) what is the probability it wil take more than 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) 246 (d what is the between 15 and 20 minutes to pass trough security screening during a peak period? (Round

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The time required to pass through security screening at the airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northern Kentucky International Airport is 12.1 minutes (The Cincinnati Enquirer, February 2, 2206). Assume the time to pass through security screening follows an exponential distribution.
(a) What is the probability you will make it through security in exactly 26 minutes? (Round your answer to three decimal places.)
.562
(b) What is the probability it will take less than 15 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.)
.191
(c) What is the probability it will take more than 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.)
246
(d) What is the probability it will take between 15 and 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.)
(e) It is 8:00 am (a peak period) and you just entered the security line. To catch your plane, you must be at the gate within 30 minutes. If it takes 16 minutes from the time you clear security until you reach your gate, what is the probability you will miss your flight? (Round your answer to three decimal places.)
|226
Transcribed Image Text:The time required to pass through security screening at the airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northern Kentucky International Airport is 12.1 minutes (The Cincinnati Enquirer, February 2, 2206). Assume the time to pass through security screening follows an exponential distribution. (a) What is the probability you will make it through security in exactly 26 minutes? (Round your answer to three decimal places.) .562 (b) What is the probability it will take less than 15 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) .191 (c) What is the probability it will take more than 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) 246 (d) What is the probability it will take between 15 and 20 minutes to pass through security screening during a peak period? (Round your answer to three decimal places.) (e) It is 8:00 am (a peak period) and you just entered the security line. To catch your plane, you must be at the gate within 30 minutes. If it takes 16 minutes from the time you clear security until you reach your gate, what is the probability you will miss your flight? (Round your answer to three decimal places.) |226
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman