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In-Class Exercise: The Poisson Distribution

In-Class Exercise: The Poisson Distribution. 3-103. The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile.

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In-Class Exercise: The Poisson Distribution

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  1. In-Class Exercise: The Poisson Distribution • 3-103. The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile. • What is the probability that there are no cracks that require repair in 5 miles of highway? • What is the probability that there is at least one crack that require repair in 1/2 miles of highway?

  2. In-Class Exercise: The Poisson Distribution • 3-111. The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of 5 messages per hour. • What is the probability that 5 messages are received in 1 hour? • What is the probability that 10 messages are received in 1.5 hours? • What is the probability that fewer than 2 messages are received in ½ hour?

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