# Cars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hourSuppose 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?(b) For any fixed number x > 8, what is the probability that x arrive during the hour of which 8 have noviolation?(c) What is the probability that 8 "no-violation" cars arrive during the next hour?

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Asked Nov 6, 2019
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## Expert Answer

Step 1

Poisson Arrival process:

The probability Px of x packet arrivals in a time interval α is given by:

Step 2

(a)Computing the probability that exactly 8 cars arrive during the hour and all 8 have no violations.

Step 3

b) Computing the probability that x arrive during the hou...

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