Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

If X is normally distributed with mean 12 and standard deviation 4, then standard normal variable Z corresponding to X = 18 is:

Options:

0.5

1.25

1.5

-1.5

Correct Answer:

1.5

Explanation:

The correct answer is Option (3) → 1.5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{18 - 12}{4} = \frac{6}{4} = 1.5$

$Z = 1.5$