-Question Help * Hospitals typically require backup generators to provide electr

Question

-Question Help * Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 32% 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. (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. Yes, because it is impossible for both generators to fail. B. Yes, because both generators fail about Round to the nearest whole number as needed.) No, because both generators fail about Round to the nearest whole number as needed.) % of the time they are needed, which is low enough to not impact the health of patients. O c % of the time they are needed. Given the importance of the hospital's needs, the re ability should be roved. Click to select your answer(s)

Explanation / Answer

a) both failed =0.32*0.32=0.1024

b)probability =1-0.1024 =-0.8976

option C is corec t; no because both generators fail about 10.0% of the..................

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