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
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
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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.
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