Truck arrivals at a terminal follow a Poisson process with an average of 2 trucks per hour. Consider the scenario where a truck has just arrived at the terminal. An employee wants to make sure he has enough time to take a break. Let T be the waiting time (in hours) before arrival of the next truck. Determine the probability that this employee can take a 15 minute break, that is, calculate P (T> 0.25).

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

Mm5

Truck arrivals at a terminal follow a Poisson process with
an average of 2 trucks per hour.
Consider the scenario where a truck has just arrived
at the terminal. An employee wants to make sure he has enough time
to
take a break. Let T be the waiting time (in hours) before arrival
of the next truck. Determine the probability that this employee can
take a 15 minute break, that is, calculate P (T> 0.25).
Transcribed Image Text:Truck arrivals at a terminal follow a Poisson process with an average of 2 trucks per hour. Consider the scenario where a truck has just arrived at the terminal. An employee wants to make sure he has enough time to take a break. Let T be the waiting time (in hours) before arrival of the next truck. Determine the probability that this employee can take a 15 minute break, that is, calculate P (T> 0.25).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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