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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
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)
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.