Automobiles arrive at a vehicle equipment inspection station according to a Poisson process with rate ? = 8 per hour. Suppose that with probability 0.5 an arriving vehicle will have no equipment violations. (a) What is the probability that exactly eight arrive during the hour and all eight have no violations? (Round your answer to four decimal places.) (b) For any fixed y ≥ 8, what is the probability that y arrive during the hour, of which eight have no violations? (c) What is the probability that eight "no-violation" cars arrive during the next hour? [Hint: Sum the probabilities in part (b) from y = 8 to ∞.] (Round your answer to three decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
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.
Automobiles arrive at a vehicle equipment inspection station according to a Poisson process with rate ? = 8 per hour. Suppose that with
(b) For any fixed y ≥ 8, what is the probability that y arrive during the hour, of which eight have no violations?
(c) What is the probability that eight "no-violation" cars arrive during the next hour? [Hint: Sum the probabilities in part (b) from y = 8 to ∞.] (Round your answer to three decimal places.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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