A discrete random variable X has the fol

CUET Preparation Today

Start Free Mocks

Home Questions JRJRSCNHZ9

Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

A discrete random variable X has the following probability distribution:

X	1	2	3	4	5	6
P(X)	$\frac{2}{k}$	$\frac{4}{k}$	$\frac{1}{k}$	$\frac{2}{k}$	$\frac{3}{k}$	$\frac{5}{k}$

The value of k is :

Options:

$\frac{2}{17}$

$\frac{1}{17}$

Correct Answer:

$\frac{1}{17}$

Explanation:

The correct answer is Option (4) → $\frac{1}{17}$

Sum of all probabilities must be 1.

$2k+4k+1k+2k+3k+5k=1$

$17k=1$

$k=\frac{1}{17}$