2. Cars which are passing an automatic toll are modeled by a Poisson process with rate...

2. Cars which are passing an automatic toll are modeled by a Poisson process with rate of 10 cars per hour. Some cars may violate with the probability of 0.5.

a. Calculate the probability that exactly 10 cars pass within an hour and all 10 have no violations?

b. For any fixed x ≥ 10, find the probability that x cars pass during the hour, of which 10 have no violations?

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orchestra answered 2 years ago

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