Automobiles arrive at a vehicle equipment inspection station according to a Poisson
distribution with mean λ = 5 every half hour. Suppose that with probability of 0.5 an
arriving vehicle will have no equipment violations.
(1) What is the probability that exactly 10 arrivals during an hour and all 10 have no
violations? (5%)
(2) For any fixed y ≥ 10 , what is the probability that y arrivals during an hour, of
which 10 have no violations? (5%)
(3) What is the probability that 10 "no-violation" cars arrive during the next hour? (6%)
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