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