Home Forums Math For a standard normal distribution, which of the following expressions must always be equal to 1?

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  • #10305
    gargij
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      A. P(z>-a) – P(-a<z<a) + P(Z>a)
      B. P(z<-a) + P(-a<z<a) + P(Z<a)
      C. P(z<-a) – P(-a<z<a) – P(Z>a)
      D. P(z<-a) + P(-a<z<a) + P(Z>a)

      • This topic was modified 2 years, 4 months ago by shilpav.
      • This topic was modified 2 years, 4 months ago by ProtonsTalk.
      • This topic was modified 2 years, 4 months ago by ProtonsTalk.
      #10312
      shilpav
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        The correct answer is
        D. P(z<-a) + P(-a<z<a) + P(Z>a)

        Explanation:
        This expression represents all of the possible values in a curve, or in other words, the total area of a curve. According to a standard normal distribution, the total area of a curve is always equal to 1 as it is a probabilistic distribution.

        • This reply was modified 2 years, 4 months ago by ProtonsTalk.
        • This reply was modified 2 years, 4 months ago by ProtonsTalk.
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