4. Cars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hour Suppose that the probability is p 0.3 that an arriving car will have no equipment violations (a) What is the probability that exactly 8 cars arrive during the hour and all 8 have no violations? 8, what is the probability that arrive during the hour of which 8 have no (b) For any fixed number violation? (c) What is the probability that 8 "no-violation" cars arrive during the next hour?

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4. Cars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hour
Suppose that the probability is p 0.3 that an arriving car will have no equipment violations
(a) What is the probability that exactly 8 cars arrive during the hour and all 8 have no violations?
8, what is the probability that arrive during the hour of which 8 have no
(b) For any fixed number
violation?
(c) What is the probability that 8 "no-violation" cars arrive during the next hour?
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Transcribed Image Text

4. Cars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hour Suppose that the probability is p 0.3 that an arriving car will have no equipment violations (a) What is the probability that exactly 8 cars arrive during the hour and all 8 have no violations? 8, what is the probability that arrive during the hour of which 8 have no (b) For any fixed number violation? (c) What is the probability that 8 "no-violation" cars arrive during the next hour?