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What is the probability that Z=0?

What is the probability that Z = 0?

0

.050

.250

.500

.750

.842

.967

none of the above

I picked 0.500 and it is wrong. Any help would be appreciated

3 Answers

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  • ?
    Lv 7
    6 years ago

    Z-scores are a continuous variable, so the probability of choosing any particular number is 0. In fact, the probability that Z is a rational number is 0 since the rational numbers form a set of measure zero.

  • ?
    Lv 7
    6 years ago

    Well,

    I tried to give you a valuable explanation at :

    /question/index?qid=20150...

    P( Z = any precise value) = 0

    do you expect the theory will change ?

    I realize that continuous probability may not be easy to understand : read my answer again, slowly...

    Michael

  • 6 years ago

    For any continuous distribution, the probability that a RV takes a particular value is zero!

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