Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

A random variable 'X' has the probability distribution

X 0 1 2
P(X) k k 2k

then P(X > 1) is :

Options:

$\frac{3}{4}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{2}{3}$

Correct Answer:

$\frac{1}{2}$

Explanation:

The correct answer is Option (3) → $\frac{1}{2}$

$∑P(X)=1$

$k+k+2k=1$

$4k=1$

$k=\frac{1}{4}$

$P(X>1)$

$P(X=2)$

$=2k$

$=2.\frac{1}{4}=\frac{1}{2}$