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Guests arrive at a hotel in accordance with a poisson

Guests arrive at a hotel, in accordance with a Poisson process, at a rate of five per hour. Suppose that for the last 10 minutes no guest has arrived. What is the probability that

(a) the next one will arrive in less than 2 minutes;

(b) from the arrival of the tenth to the arrival of the eleventh guest takes no more than 2 minutes?

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Basic Statistics: Guests arrive at a hotel in accordance with a poisson

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Basic Statistics: Guests arrive at a hotel in accordance with a poisson

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