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Math Help - Probability

  1. #1
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    Probability

    Let X denote the numebr of flaws along an 100m reel of magnetic
    tape. If in average there are 25 flaws every 100m of tape find the
    probability that a random 200m tape contains more than 30 flaws.
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  2. #2
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    Quote Originally Posted by shogunhd View Post
    Let X denote the numebr of flaws along an 100m reel of magnetic
    tape. If in average there are 25 flaws every 100m of tape find the
    probability that a random 200m tape contains more than 30 flaws.
    Use the Poisson distribution.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Use the Poisson distribution.
    Thank you. So my lambda in this case is 25 and the probability of being more than 30 = 1 - Pr(x<=30) in the Poisson distribution.
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    Quote Originally Posted by shogunhd View Post
    Thank you. So my lambda in this case is 25 and the probability of being more than 30 = 1 - Pr(x<=30) in the Poisson distribution.
    X is the random variable number of flaws in 100 m of tape.

    X ~ Poisson (\mu_X = 25).

    But you want Pr(Y > 30) where Y = 2X. And \mu_Y = 2 (25) = 50 .....
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