Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

If the random variable X has the following probability distribution:

X

0

1

2

 Otherwise 

P(X)

  K  

  3K  

  5K  

0

then K is equal to

Options:

$\frac{4}{9}$

$\frac{2}{9}$

$\frac{1}{9}$

$\frac{8}{9}$

Correct Answer:

$\frac{1}{9}$

Explanation:

The correct answer is Option (3) → $\frac{1}{9}$

$P(0)=K,\; P(1)=3K,\; P(2)=5K$

Since total probability is $1$:

$K+3K+5K=1$

$9K=1$

$K=\frac{1}{9}$

The value of $K$ is $\frac{1}{9}$.