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

 

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)

Answer: – C) P(z≤-a)+P(-a≤z≤a)+P(z≥a)

 

Explanation: For a standard normal distribution, the expression must always equal 1.

This is because P(z≤-a)+P(-a≤z≤a)+P(z≥a) represents all the possible values in the total area of any given curve. The entire area of every given curve must always match the standard normal distribution’s expression formula, which is 1.

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