Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The random variable X can take only values 0, 1, 2. Given that $P(X=0)=P(X=1)=ρ$ and $E(X^2)=E(X)+1,$ then the value of ρ is :

Options:

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{1}{6}$

Correct Answer:

$\frac{1}{4}$

Explanation:

The correct answer is option (1) : $\frac{1}{4}$