Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts D AND E

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

Patients arrive at the emergency room of a local hospital at an average rate of

6.6

per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts D AND E. A, B, AND C HAVE BEEN ANSWERED.

Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e.
a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes?
b. What is the probability that the next patient will arrive in the emergency room between the next 12 and 17 minutes?
c. What is the probability that the next patient will arrive in the emergency room after the next 14 minutes?
d. What is the probability that the next patient will arrive in the emergency room in exactly 14 minutes?
e. What is the standard deviation of the distribution?
Transcribed Image Text:Patients arrive at the emergency room of a local hospital at an average rate of 6.6 per hour. Assume the time between patient arrivals follows an exponential distribution. Answer parts a through e. a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes? b. What is the probability that the next patient will arrive in the emergency room between the next 12 and 17 minutes? c. What is the probability that the next patient will arrive in the emergency room after the next 14 minutes? d. What is the probability that the next patient will arrive in the emergency room in exactly 14 minutes? e. What is the standard deviation of the distribution?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

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