Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

If the probability distribution of a random variable X is

x

1

2

3

4

5

 P( X = x) 

  k  

 2k 

 3k 

 3k 

  k  

Value of P(X > 2) is

Options:

$\frac{5}{6}$

$\frac{9}{10}$

$\frac{4}{5}$

$\frac{7}{10}$

Correct Answer:

$\frac{7}{10}$

Explanation:

Here k + 2k + 3k + 3k + k = 1 $\Rightarrow k=\frac{1}{10}$

so  P(X > 2) = 3k + 3k + k = 7k = $\frac{7}{10}$