A series of 20 jobs arrive at a computing center with 50 processors. Assume that each of the jobs is equally likely to go through any of the processors. a) Find the probability that a processor is used at least twice. b) What is the probability that at least one processor is idle? c) If any processor can handle at most four jobs without being overloaded, what is the probability of an overload? Please explain a),b) how you are solving.

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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.