Assume that the arrivals at a telephone booth form a Poisson process with mean of 12 per hour. An exponential distribution with mean 2 min is also a good fit for the distribution of length of telephone calls. (a) What is the probability that an arrival will find the telephone occupied? (b) What is the average length of the queue when it forms? (c) It is the policy of the telephone company to install additional booths if the customers wait on the average at least 3 mins for the phone. By how much must the flow of arrivals increase in order to justify the second booth?

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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.