Let X be a discrete random variable with

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Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Probability Distributions

Question:

Let X be a discrete random variable with probability distribution defined as :

$P(X-x)=\left\{\begin{matrix}kx& for & x=0, 1\\kx-\frac{1}{2} & for & x=2, 3\\0 & otherwise \end{matrix}\right.$

then k is equal to :

Options:

$\frac{2}{7}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{1}{6}$

Correct Answer:

$\frac{1}{3}$