Automobiles arrive at a vehicle equipment inspection station according to a pois

Question

Automobiles arrive at a vehicle equipment inspection station according to a poisson process with rate alpha = 8 per hour. Suppose mat with probability 0.5 an arriving vehicle will have no equipment violations. What is the probability that exactly eight arrive during the hour and all eight have no violations? (Round your answer to four decimal places). For any fixed y Greaterthanorequalto 8, what is the probability that y arrive during the hour, of which eight have no violations? What is the probability that eight "no-violation" cars arrive during the next hour?

Explanation / Answer

(a) Ans is 0.0005

computation:

(b) Ans is 0.0023

calculation:

rate= 8 per hour x P(X=x) constant given rate the no. for which prob is calculated against given rate probability of occuring x
P(X=x) prob that no vehicle has eqpmnt violation 8 8 0.139587 0.003906 0.000545

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