CUET Mathematics - If X is a random variable such that X can take values 0,1, 2 or 3. Then the expectation of X for the following data is : | X | 0 | 1 | 2 | 3 | |---|---|---|---|---| | P(X) | k | k^2 | 1-5k^2 | k^2 | (where k>0) | PYQs + Solutions

CUET Mathematics 2026 25th May Shift 1

Applied Mathematics

Medium

applied

$\dfrac{1}{3}$

$\dfrac{4}{3}$

$\dfrac{1}{9}$

✅ Correct Option: 3

Related questions:

25 May Shift 1

Match List I with List II

LIST I	LIST II
A. The variance of a Poisson distribution with mean $\lambda$ is	I. $\sqrt{\lambda}$
B. The standard deviation of a Poisson distribution with mean $\lambda$ is	II. 4
C. In a Poisson distribution, if mean is 4, then the standard deviation is	III. $\lambda$
D. In a Poisson distribution, if mean is 4, then the variance is	IV. 2

Choose the correct answer from the options given below:

12th May Shift 2

The probability distribution of a random variable $X$ is given as $P(X=x)=\begin{cases}kx^3 & \text{for } x=1,2,3\\ 3kx & \text{for } x=4,5\\ 0 & \text{otherwise}\end{cases}$ , where $k$ is a constant.

The value of $P(X\ge4)$ is

25th May Shift 1

If a random variable X follows poisson's distribution such that $P(X=2) = 9P(X=4) + 90P(X=6)$ , then the mean of X is

CUET Mathematics 2026 25th May Shift 1 PYQs

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