If X is a normal variate with mean 16 and standard deviation 4, then the value of standard normal variate Z corresponding to X = 17 is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 0.25
Given: X ~ N(μ = 16, σ = 4)
Standard normal variate: Z = (X − μ) / σ
For X = 17:
Z = (17 − 16) / 4
Z = 1 / 4
Z = 0.25