Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

If the mean of the probability distribution is 5, then the value of k is :

X 2 k 5
P(X) 0.2 0.4 0.6

 

Options:

1

2

4

3

Correct Answer:

4

Explanation:

The correct answer is Option (3) → 4

The mean of a discrete probability distribution is,

$μ=∑X.P(X)$

$⇒5=(2×0.2)+(k×0.4)+(5×0.6)$

$⇒5=0.4+0.4k+3$

$⇒k=\frac{1.6}{0.4}=4$