Mathematics, 13.12.2019 02:31 liliaboop8618
Automobiles arrive at a vehicle equipment inspection station according to a poisson process with rate α = 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 [infinity].] (round your answer to three decimal places.)
Answers: 2
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Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?
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