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

Tagged: equal to 1, Standard Normal Distribution

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- July 19, 2021 at 7:19 pm #10305
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, 8 months ago by shilpav.
- This topic was modified 2 years, 8 months ago by ProtonsTalk.
- This topic was modified 2 years, 8 months ago by ProtonsTalk.

July 19, 2021 at 7:24 pm #10312::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, 8 months ago by ProtonsTalk.
- This reply was modified 2 years, 8 months ago by ProtonsTalk.

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