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Math Help - Standard Normal Distribution

  1. #1
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    Standard Normal Distribution

    Let Z1, Z2, ... Z7 be a random sample from the standard normal distribution N(0, 1). Let W = Z1 ^2, Z2 ^2, ... Z7 . Find P(1.69 < W < 14.07.

    I have no idea where to begin with this one.

    Thanks
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  2. #2
    MHF Contributor matheagle's Avatar
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    I would guess that you mean W is the sum of the squares of the Z's which makes it a chi-square with 7 degress of freedom.
    Otherwise W is a vector and you're missing 6 other parts of the question.
    So go to a \chi^2_7 table and look up those numbers OR use....http://www.statsoft.com/textbook/dis...on-tables/#chi
    from that the answer is .975-.05.
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