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Math Help - standard normal question

  1. #1
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    standard normal question

    hi,

    For a standard normal variable Z ~ N(0, 1), the Pr(Z < 1 | Z < 2) is?
    The answer was: 0.8609
    But im not sure exactly how to do it...
    I know the basics of normal distribution stuff though...
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by scorpion007 View Post
    hi,

    For a standard normal variable Z ~ N(0, 1), the Pr(Z < 1 | Z < 2) is?
    The answer was: 0.8609
    But im not sure exactly how to do it...
    I know the basics of normal distribution stuff though...
    From the 1/2 Bayes theorem:

    pr(A & B) = pr(A|B)pr(B)

    let A be z<1, and B be z<2, then you have:

    pr(z<1 & z<2) = pr(z<1) = pr(z<1 | z<2) pr(z<2)

    so:

    pr(z<1 | z<2)= pr(z<1) / pr(z<2).

    RonL
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