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Math Help - Special Probability help

  1. #1
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    Special Probability help

    Q#1.What probability model is appropriate to describe a situation where 100 misprints are distributed randomly throughout the 100 pages of a book? For this model, what is the probability that a page observed at random will contain at least three misprints?
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  2. #2
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    Smile reminder for help

    dear Sir,
    I am waiting for your kind reply.
    Thanks
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by nisoo-1 View Post
    Q#1.What probability model is appropriate to describe a situation where 100 misprints are distributed randomly throughout the 100 pages of a book? For this model, what is the probability that a page observed at random will contain at least three misprints?
    Binomial, choose a page evey misprint has a 1% chance of being on the page
    so number of misprints on selected page ~B(100, 0.01).

    Now it might be that the Poisson distribution is more convienient, but it is
    acting in its capacity of approximation to the Binomial.

    RonL
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  4. #4
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    My method

    Is following method right?
    n=100,p=0.01 and q=0.99
    P(X=x)=(100Cx)(0.01)^x(0.99)^100-x, x=at least three misprints
    These probabilites by means of the Poission approximation, using u=np=(100)(0.01)=1, are
    P(X=x)=P(x;1)= 1.e^-1/x!, for at least three misprints.
    Now I have the confusion in x value How i can calculate x value that is
    at least three misprints?
    Note: clear the at least three.
    Thanks

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