Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergen

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Hospitals Typically Require Backup Generators To Provide Electricity In The Event Of A Power Outage Assume That Emergen 1 (43.65 KiB) Viewed 121 times

Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 42% 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. 0.1764 (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. 0.8236 (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 complete your choice. A. No, because both generators fail about 1% 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.) B. 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.) C. Yes, because it is impossible for both generators to fail.