2. The secretary of the Excellent Corporation receives letters for typing, the arrival of which follows the

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2. The secretary of the Excellent Corporation receives letters for typing, the arrival of which follows the Poisson law with an average arrival rate ;\, = 3 letters/hour.

(a) Find the probability that she will receive no more than 2 letters in an hour, at least one letter in an hour.

(b) Determine the number of letters expected to be received in a two-hour interval.

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