In-Class Exercise: The Exponential Distribution - PowerPoint PPT Presentation

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In-Class Exercise: The Exponential Distribution

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In-Class Exercise: The Exponential Distribution 4-93. Assume that the flaws along a magnetic tape follow a Poisson distribution with a mean 0.2 flaws per meter. – PowerPoint PPT presentation

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Title: In-Class Exercise: The Exponential Distribution


1
In-Class Exercise The Exponential Distribution
  • 4-93. Assume that the flaws along a magnetic
    tape follow a Poisson distribution with a mean
    0.2 flaws per meter. Let X denote the distance
    between two successive flaws.
  • What is the mean of X?
  • What is the probability that there are no flaws
    in 10 consecutive meters of tape?
  • Does your answer to part (b) change if the 10
    meters of tape are not consecutive?
  • How many meters of tape need to be inspected so
    that the probability that at least one flaw is
    found is 90?
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