Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 35% 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. O(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. O (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. Yes, because it is impossible for both generators to fail. O B. 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 C. 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.)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.