MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 17​% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts​ (a) and​ (b) below.

a. Find the probability that both generators fail during a power outage. (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.

c. Is that probability high enough for the​ hospital? Select the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.

1- No, because both generators fail about __% of the time they are needed. Given the importance of the​ hospital's needs, the reliability should be improved.
​(Round to the nearest whole number as​ needed.)
 
2- ​Yes, because both generators fail about __​%
of the time they are​ needed, which is low enough to not impact the health of patients.
​(Round to the nearest whole number as​ needed.)
 
3- ​Yes, because it is impossible for both generators to fail.
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