Question

Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that, in a randomly chosen period of 2 minute, the number of calls received by the service is at most 5. c.

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나 メre Poisson IA) where d-3 Per minule 0.0498 o] 5-3 b) 3 per one min 12 per min -12 e (12) , P(x=14) _ 0.0905

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