normal distribution z values

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  1. natalie_gs's Avatar
    • Exalted Member
    • Posts: 283
    normal distribution z values
    Cn someone please explain how you work out the following probability

    X~N(4.11, 0.19)

     p(3.9<z<4.5) = p( -1.105<z<2.052)


    I can't seem to ge the right answer for this probability.

    from the z tables i use values of 0.9803 for 2.06

    and 0.8665 for 1.11,

    so should the answer not be 0.9803-0.8665 ?

    the answer in the book is 0.8468

    any help appreciated, thanks
  2. Slumpy's Avatar
    • TSR Idol
    • Location: Scotland
    • Posts: 7,840
    Re: normal distribution z values
    (Original post by natalie_gs)
    Cn someone please explain how you work out the following probability

    X~N(4.11, 0.19)

     p(3.9<z<4.5) = p( -1.105<z<2.052)


    I can't seem to ge the right answer for this probability.

    from the z tables i use values of 0.9803 for 2.06

    and 0.8665 for 1.11,

    so should the answer not be 0.9803-0.8665 ?

    the answer in the book is 0.8468

    any help appreciated, thanks
     p(3.9<z<4.5) = p( -1.105<z<2.052)

    It sounds like the calculation you're doing is this:
      p( 1.105<z<2.052)
    Can you see why?
  3. natalie_gs's Avatar
    • Exalted Member
    • Posts: 283
    Re: normal distribution z values
    (Original post by Slumpy)
     p(3.9<z<4.5) = p( -1.105<z<2.052)

    It sounds like the calculation you're doing is this:
      p( 1.105<z<2.052)
    Can you see why?
    Oh yes, so it should be ;



     0.9803-(1-0.8665) = ?

    thank you!
    Last edited by natalie_gs; 20-06-2012 at 14:25.
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