Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

If the random variable X is normally distributed with mean 16 and standard deviation 4, then the standard normal variable 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: $X \sim N(\mu=16,\ \sigma=4)$ and $X=17$.

Standardization: $Z=\frac{X-\mu}{\sigma}=\frac{17-16}{4}=\frac{1}{4}=0.25$.

Answer: $Z=0.25$