1. Arrivals of goods at a plant occur at a rate of 5 per hour and research suggests that a Poisson process is a good representation of the arrivals of goods at the plant. (a) What is the probability that at most 1 good arrives during a 45 minutes period? (b) An inspector took a 45 minutes break. What is the probability that no good arrived during his break? (c) How long must a time period be so that the probability of no goods arriving during the time period is at most pE (0, 1)? When does this time period exceed 1 hour, if at all it does?

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1. Arrivals of goods at a plant occur at a rate of 5 per hour and research suggests that a Poisson process is a good
representation of the arrivals of goods at the plant.
(a) What is the probability that at most 1 good arrives during a 45 minutes period?
(b) An inspector took a 45 minutes break. What is the probability that no good arrived during his break?
(c) How long must a time period be so that the probability of no goods arriving during the time period is at
most pE (0, 1)? When does this time period exceed 1 hour, if at all it does?
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1. Arrivals of goods at a plant occur at a rate of 5 per hour and research suggests that a Poisson process is a good representation of the arrivals of goods at the plant. (a) What is the probability that at most 1 good arrives during a 45 minutes period? (b) An inspector took a 45 minutes break. What is the probability that no good arrived during his break? (c) How long must a time period be so that the probability of no goods arriving during the time period is at most pE (0, 1)? When does this time period exceed 1 hour, if at all it does?

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