CUET Mathematics 2026 25th May Shift 1 PYQs

The mean and variance of a Binomial distribution are 4 and 4/3 respectively. The number of trials is

Let $X$ be a discrete random variable whose probability distribution is defined as follows;

$P(X=x)=\begin{cases}k(x+1), & x=1,2,3,4\\ 2kx, & x=5,6,7\\ 0, & \text{otherwise}\end{cases}$

where $k$ is constant, then $P(X=5)$ is equal to

If the random variable X follows the Poisson distribution such that P[X = k] = P[X = k+1], then the mean value of X is: