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Math Help - HP50g normal distribution function question

  1. #1
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    HP50g normal distribution function question

    Hi ,

    I just got a new HP50g and not sure how to solve for k.

    Given P(X<k)=0.9573 .....(normal distribution)

    Eg. using UTPN function for P(X<1)=0.8413:

    UTPN(0,1,1)=0.1587 (ie the upper tail)

    So 1-0.1587=0.8413 (ie lower tail)


    Any help would be appreciated.

    Thanks in advance,
    Neverquit
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  2. #2
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    how to solve for k in normal distribution?

    Hi

    how do I solve this?

    P(X<k)=0.9573

    Mean =0
    SD=1

    Best regards,

    Neverquit


    Moderator edit: Moved from Probability and Statistics subforum (see post #3).
    Last edited by mr fantastic; February 27th 2011 at 10:09 AM.
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  3. #3
    MHF Contributor FernandoRevilla's Avatar
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    Look at any normal distribution table, you'll inmediately find k=1.72 .
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  4. #4
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    Hi but I am trying to do it on my HP50g.

    Regards,
    Neverquit
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  5. #5
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by Neverquit View Post
    Hi but I am trying to do it on my HP50g.
    In that case, I can't help you. HP50g is not a friend of mine
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  6. #6
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    mr fantastic's Avatar
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    Quote Originally Posted by Neverquit View Post
    Hi but I am trying to do it on my HP50g.

    Regards,
    Neverquit
    In the first instance you either go to the manual (which no doubt will be available for download on the HP website) or ask your instructor.
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  7. #7
    Grand Panjandrum
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    Quote Originally Posted by Neverquit View Post
    Hi

    how do I solve this?

    P(X<k)=0.9573

    Mean =0
    SD=1

    Best regards,

    Neverquit


    Moderator edit: Moved from Probability and Statistics subforum (see post #3).
    You want to solve the equation:

    UTPT(0,1,x)=0.0427

    You can do this by trial and error, or look at using the numerical equation solver described in chapter 6 of the manual.

    To get you started UTPT(0,1,1.7)~=0.0445655, and UTPT(0,1,1.8)~= 0.0359303, so the required solution is in the interval (1.7,1.8)


    CB
    Last edited by CaptainBlack; February 27th 2011 at 12:39 PM.
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  8. #8
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    probability

    Thanks Captain Black
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