A manufacturer of wind turbines produces a large number of only two types of turbines, C and M, designed to operate in the states of California, C, and the state of Massachusetts, M, respectively. The five-year failure rate of the M turbines p = .12, and the five-year failure rate for C turbines is p = .09, and the failure rates are independent of each other. Three times as many C turbines have been sold (and put into operation) than M turbines. Given that one of this manufacturer's turbines fails within five-years, what is the probability that it was an M turbine?
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 manufacturer of wind turbines produces a large number of only two types of turbines, C and M, designed to operate in the states of California, C, and the state of Massachusetts, M, respectively.
The five-year failure rate of the M turbines p = .12, and the five-year failure rate for C turbines is p = .09, and the failure rates are independent of each other.
Three times as many C turbines have been sold (and put into operation) than M turbines.
Given that one of this manufacturer's turbines fails within five-years, what is the
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