Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Inferential Statistics

Question:

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:

Options:

1.25

-1.25

-0.25

0.25

Correct Answer:

0.25

Explanation:

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