Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 33% of the times when they are needed. A hospital has two backup generators so that power is available if one of the fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. 0.1089 (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital Assume the hospital needs both generators to fail less than 1% of the time when needed. 0.8911 (Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complet your choice. O A. No, because both generators fail about % of the time they are needed. Given the importance of the hospital's needa th reliability should be improved. (Round to the nearest whole number as needed.) O B. Yes, because both generators fail about % of the time they are needed, which is low enough to not impac the heeltn patients. (Round to the nearest whole number as needed.) O C. Yes, because it is impossible for both generators to fail. Help me solve this View an example Get more help Clear all Check answ

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
100%
Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup
generators fail 33% of the times when they are needed. A hospital has two backup generators so that power is available if one of the
fails during a power outage. Complete parts (a) and (b) below.
a. Find the probability that both generators fail during a power outage.
0.1089 (Round to four decimal places as needed.)
b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital
Assume the hospital needs both generators to fail less than 1% of the time when needed.
0.8911 (Round to four decimal places as needed.)
Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complet
your choice.
O A. No, because both generators fail about
% of the time they are needed. Given the importance of the hospital's needa th
reliability should be improved.
(Round to the nearest whole number as needed.)
O B. Yes, because both generators fail about
% of the time they are needed, which is low enough to not impac the heeltn
patients.
(Round to the nearest whole number as needed.)
O C. Yes, because it is impossible for both generators to fail.
Help me solve this
View an example
Get more help
Clear all
Check answ
Transcribed Image Text:Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 33% of the times when they are needed. A hospital has two backup generators so that power is available if one of the fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. 0.1089 (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital Assume the hospital needs both generators to fail less than 1% of the time when needed. 0.8911 (Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complet your choice. O A. No, because both generators fail about % of the time they are needed. Given the importance of the hospital's needa th reliability should be improved. (Round to the nearest whole number as needed.) O B. Yes, because both generators fail about % of the time they are needed, which is low enough to not impac the heeltn patients. (Round to the nearest whole number as needed.) O C. Yes, because it is impossible for both generators to fail. Help me solve this View an example Get more help Clear all Check answ
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