A professor from Transylvania University has developed a device which can be used to detect ghost appearances. An old house in Dayton is inhabited by one UD professor and a variety of ghosts. Ghost appearances occur in the house according to a Poisson process having a rate of 1.4 ghosts per hour.   What is the probability that 4 ghosts appear during a 3-hour period? On average how many ghosts will appear during a 90-minute interval?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A professor from Transylvania University has developed a device which can be used to detect ghost appearances. An old house in Dayton is inhabited by one UD professor and a variety of ghosts. Ghost appearances occur in the house according to a Poisson process having a rate of 1.4 ghosts per hour.

 

  1. What is the probability that 4 ghosts appear during a 3-hour period?
  2. On average how many ghosts will appear during a 90-minute interval?
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