At a factory which produces hard drives, defective hard drives are produced according to a Poisson distribution at a rate of 12 per day. The company also hires inspectors to test for faulty hard drives. Of the defective hard drives, the inspectors are able to independently catch 90% of them. What is the probability that there 14 defective hard drives produced in a day? Given that there were 14 hard drives produced in a day, what is the probability that the inspectors identify 10 of them?

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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.