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Statistics

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Find the probability that at most 5 defective bolts will be found in a box of 200 bolts if it is known that 2 per cent of such bolts are expected to be defective .(you may take the distribution to be Poisson; e-4= 0.0183).

  • Statistics -

    Here's one way to do this problem.

    Poisson distribution (m = mean):
    P(x) = e^(-m) m^x / x!
    Note: mean = .02*200 = 4

    Find P(0) through P(5). Add together for the probability.

    Here's P(0):
    P(0) = (e^ -4) (4^0) / (0!)
    = (0.0183) (1) / (1)
    = 0.0183


    I hope this will help get you started.

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