Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

A random variable X has the following probability distribution:

X

0  

1

2

3

4

5

6

7

P(X)

0

m

2m

2m

3m

$m^2$

$2m^2$

$7m^2 +m$

The value of m is:

Options:

10

$\frac{1}{10}$

-1 and $\frac{1}{10}$

$\frac{1}{20}$

Correct Answer:

$\frac{1}{10}$

Explanation:

The correct answer is Option (2) → $\frac{1}{10}$

$∑P(X)=1$

$0+m+2m+2m+3m+m^2+2m^2+7m^2+m=1$

$10m^2+9m=1$

$m=\frac{1}{10}$