The probability that an airplane engine will fail in a transcontinental flight is 0.003. Assuming that engine failures are independent of each other, what is the probability that on a certain transcontinental flight, a six-engine plane will experience: (a) Exactly one engine failure? (Round your answer to five decimal places.) (b) Exactly two engine failures? (Round your answer to six decimal places.) (c) More than two engine failures? (Note: In this event, the airplane will crash. Round your answer to nine decimal places.)
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.
The probability that an airplane engine will fail in a transcontinental flight is 0.003. Assuming that engine failures are independent of each other, what is the probability that on a certain transcontinental flight, a six-engine plane will experience:
(b) Exactly two engine failures? (Round your answer to six decimal places.)
(c) More than two engine failures? (Note: In this event, the airplane will crash. Round your answer to nine decimal places.)
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