A trimotor plane has three engines—a central engine and an engine on each wing. The plane will crash only if the central engine fails and at least one of the two wing engines fails. The 2 probability of failure during any given flight is .005 for the central engine and .008 for each of the wing engines. Assuming that the three engines operate independently, what is the probability that the plane will crash during a flight?
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.
. A trimotor plane has three engines—a central engine and an engine on each wing. The plane
will crash only if the central engine fails and at least one of the two wing engines fails. The
2
probability of failure during any given flight is .005 for the central engine and .008 for each of
the wing engines. Assuming that the three engines operate independently, what is the
probability that the plane will crash during a flight?
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