Homework Help is Here – Start Your Trial Now!
Math
Statistics
The arrival pattern of cars to a single-lane, drive-in window at a bank appears to be a Poisson process, with a mean rate of one per minute. Service times by the teller appear to be exponentially distributed, with a mean of 45 seconds. Assuming that an arriving car will wait as long as necessary, determine: a) the expected number of cars waiting for service. Answer in 2 decimal places. b) the average time a car waits for service. Answer in hour and in 4 decimalplaces. c) the average time a car spends in the system. Answer in minutes and in integer value. d) the probability that there will be cars waiting in the street if bank grounds cn hold a maximum of five automobiles. Answer in 3 decimal places.

The arrival pattern of cars to a single-lane, drive-in window at a bank appears to be a Poisson process, with a mean rate of one per minute. Service times by the teller appear to be exponentially distributed, with a mean of 45 seconds. Assuming that an arriving car will wait as long as necessary, determine: a) the expected number of cars waiting for service. Answer in 2 decimal places. b) the average time a car waits for service. Answer in hour and in 4 decimalplaces. c) the average time a car spends in the system. Answer in minutes and in integer value. d) the probability that there will be cars waiting in the street if bank grounds cn hold a maximum of five automobiles. Answer in 3 decimal places.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The arrival pattern of cars to a single-lane, drive-in window at a bank appears to be a Poisson process, with a mean rate of one per minute. Service times by the teller appear to be exponentially distributed, with a mean of 45 seconds. Assuming that an arriving car will wait as long as necessary, determine: a) the expected number of cars waiting for service. Answer in 2 decimal places. b) the average time a car waits for service. Answer in hour and in 4 decimalplaces. c) the average time a car spends in the system. Answer in minutes and in integer value. d) the probability that there will be cars waiting in the street if bank grounds cn hold a maximum of five automobiles. Answer in 3 decimal places.
Transcribed Image Text:The arrival pattern of cars to a single-lane, drive-in window at a bank appears to be a Poisson process, with a mean rate of one per minute. Service times by the teller appear to be exponentially distributed, with a mean of 45 seconds. Assuming that an arriving car will wait as long as necessary, determine: a) the expected number of cars waiting for service. Answer in 2 decimal places. b) the average time a car waits for service. Answer in hour and in 4 decimalplaces. c) the average time a car spends in the system. Answer in minutes and in integer value. d) the probability that there will be cars waiting in the street if bank grounds cn hold a maximum of five automobiles. Answer in 3 decimal places.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS