Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

A discrete random variable X has the following probability distribution:

X:

0

1

2

3

4

5

 P(X): 

 b 

 3b 

 5b 

 3b 

 4b 

 6b 

The value of b is:

Options:

$\frac{1}{25}$

$\frac{1}{5}$

$\frac{1}{22}$

1

Correct Answer:

$\frac{1}{22}$

Explanation:

The correct answer is Option (3) - $\frac{1}{22}$

$\sum P(X=x) = 1$

$b + 3b + 5b + 3b + 4b + 6b = 1$

$22b = 1$

$b = \frac{1}{22}$

The value of $b$ is $\frac{1}{22}$.