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Thread: Normal distribution problem

  1. #1
    Newbie feli3105's Avatar
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    Normal distribution problem

    Find de C value for  P(-C\leq Z \leq C)=0.95

    I would appreciate any suggestions on how to solve this problem, thanks.
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  2. #2
    MHF Contributor
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    Re: Normal distribution problem

    The problem is symmetric. There is as much probability above $C$ as there is below $-C$

    The total amount of probability available is 1 and thus

    $P[Z < -C ] = P[Z > C] = \dfrac{1-0.95}{2} = 0.025$

    Now just look up in your table or your software the inverse CDF of the normal distribution at $0.025$

    and this will be the value of $-C$

    I get
    Spoiler:
    $C=1.959963984540054\dots$
    Thanks from feli3105
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