CUET UG Mathematics — Algebra previous year questions with solutions.
Two numbers are selected at random (without replacement) from the first three positive integers. Let $X$ denotes the larger of the two integers, then the probability distribution of $X$ is
The random variable $X$ has a probability distribution $P(X=x) = \begin{cases} 5k, & x=0 \\ 2k, & x=1 \\ 3k, & x=2 \\ 0, & \text{otherwise.} \end{cases}$ Then, the value of $E(X)$ is :