The daily number of traffic accidents is a Poisson r.v. with = 30, and the probability

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The daily number of traffic accidents is a Poisson r.v. with λ = 30, and the probability that an accident causes a serious damage is p = 0.3. The outcomes of different accidents are independent. Find the probability that

(a) The number of accidents with serious damages will exceed 8;

(b) The number of accidents with serious damages exceeded 8 given that the number of accidents without serious damages equals 20;

(c) The number of accidents with serious damages exceeded 8 given that the total number of accidents equals 20.

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