(a)What are the respective probabilities of a fire, mechanical failure, and human error? (b)What are the respective probabilities that a radiation leak was caused by a fire, mechanical failure, and human error? (c)What is the probability of a radiation leak?
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.
An independent research group has been studying the chances that an accident at a nuclear power plant will result in radiation leakage. The group considers that the only possible types of accidents at a reactor are fire, mechanical failure, and human error, and that two or more accidents never occur together. It has performed studies that indicate that if there were a fire, a radiation leak would occur 20 percent of the time; if there were a mechanical failure, a radiation leak would occur 50 percent of the time; and if there were a human error, a radiation leak would occur 10 percent of the time. Its studies have also shown that the probability of
A fire and a radiation leak occurring together is 0.0010.
A mechanical failure and a radiation leak occurring together is 0.0015.
A human error and a radiation leak occurring together is 0.0012.
(a)What are the respective probabilities of a fire, mechanical failure, and human error?
(b)What are the respective probabilities that a radiation leak was caused by a fire, mechanical failure, and human error?
(c)What is the probability of a radiation leak?
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