The number of requests for assistance received by a towing service is a poisson process with rate α = 2 per hour. If the operator takes a 15-minute break, what is the probability that he does not miss any calls for assistance?
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) The number of requests for assistance received by a towing service is a poisson process with rate α = 2 per hour. If the operator takes a 15-minute break, what is the probability that he does not miss any calls for assistance?
(b) After realizing that he did not miss any calls for assistance, the operator decides to take another 15-minute break. What is the probability that he will not miss any calls again?
(c) Automobiles arrive at a vehicle equipment inspection station according to a Process process with rate α = 6 per hour. Suppose that with probability π = 0.4 an arriving vehicle will have no equipment violations. What is the probability that five “no-violation” cars arrive during the next hour?
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