If a random variable X follows a normal distribution with mean µ and variance σ², what is the distribution of the standardized variable Z?

Statistics Mcqs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

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Subject
Statistics Mcqsstatistics-mcqs
Published
24 May 2019
Last updated
28 May 2026

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Explanation

When a normal variable X ~ N(µ, σ²) is standardized by subtracting the mean µ and dividing by the standard deviation σ, the resulting variable Z follows a standard normal distribution N(0, 1).

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