If X ˜ N (µ, σ2) then Z ˜__________?
Correct answer: C. N(0, 1)
- A. N(0, σ2)
- B. N(1, σ2)
- C. N(0, 1)
- D. N(1, 1)
Explanation
Standardizing X by subtracting μ and dividing by σ gives Z = (X − μ)/σ, which has mean 0 and variance 1. Hence Z follows N(0, 1), not a distribution retaining μ or σ².
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