Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 24% 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. 0.0576 (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. 0.9424 (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. O A. 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.) O B. Yes, because both generators fail about % of the time they are needed, which (Round to the nearest whole number as needed.) low enough to not impact the health of patients. OC. Yes, because it is impossible for both generators to fail.
Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 24% 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. 0.0576 (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. 0.9424 (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. O A. 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.) O B. Yes, because both generators fail about % of the time they are needed, which (Round to the nearest whole number as needed.) low enough to not impact the health of patients. OC. Yes, because it is impossible for both generators to fail.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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