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    breepi's Avatar
    breepi Posts: 2, Reputation: 1
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    #1

    Mar 3, 2012, 08:01 PM
    Standard Normal Probability Question - BASIC?
    This is a really basic question about a rule... I missed my lecture as I was studying for an exam, and was hoping that someone could shed some light on this for me.

    (I'm making up symbols - <= is being 'less than or equal to')

    I understand that probabilities have to be represented in a P(Z<= z) - but it looks as if you can assume that if P(Z<z) then P(Z<=z) - am I reading this right?

    Thanks so much!
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Mar 5, 2012, 12:33 PM
    Quote Originally Posted by breepi
    it looks as if you can assume that if P(Z<z) then P(Z<=z) - am I reading this right?
    Yes - the cumulative distribution function is continuous, so the values provided in the tables is for the probability that z is less than or equal to the value you are looking up. Mathematically the values are the area under the normal dstribution curve between x=0 and x=z:

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