A worker operates three machines. The probability that for the duration of an hour a machine does not require the attention of the worker is 0.9 for the first machine, 0.8 for the second and 0.85 for the third. What is the probability that in any one hour none of the machines require his attention? What is the probability that at least one of the machines does not require any attention during any one hour?

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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.