Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

Given that mean of a normal variable X is 12 and standard deviation is 4, then find the data point if its Z-score is 5.

Options:

20

16

32

28

Correct Answer:

32

Explanation:

The correct answer is Option (3) → 32

Given $μ = 12$ and $σ = 4$

$∵Z = 5$

$∴ 5=\frac{x-μ}{σ}=\frac{x-12}{4}⇒x-12=20$

$⇒x=32$