List of top Statistics Questions on Probability theory asked in CUET (PG)

A simple random sample of size 'n' will be drawn from a class of 125 students, and mean mathematics score of the sample will be compute
D. If the standard error of the sample mean for "with replacement sampling" is twice as much as the standard error of the sample mean for "without replacement sampling", then the value of n is

Value of $\lim_{n \rightarrow \infty} e^{-n}\left(1+n+\frac{n^{2}}{2 !}+\dots+\frac{n^{n}}{n !}\right)$ is

A joint density function of random variable $X$ and $Y$ is given by $f(x,y)=\begin{cases}kx & \text{for } 0<x<1, 0<y<1 \\ 0 & \text{otherwise}\end{cases}$ then $Cov(X,Y)$ is

Let E, F and G be events such that $P(E|G) = 0.05$ and $P(F|G) = 0.05$ which of the following statement must be true?

A card is drawn at random from a standard deck of 52 cards. Then, the probability of getting either an ace or a club is:

A six-faced die is rolled twice. Then the probability that an even number turns up at the first throw, given that the sum of the throws is 8, is