CUET Mathematics - The probability distribution of a random variable X is given as P(X=x)=caseskx^3 & for x=1,2,3\\ 3kx & for x=4,5\\ 0 & otherwisecases, where k is a constant. The value of P(X≥4) is | PYQs + Solutions

CUET Mathematics 2026 12th May Shift 2

Applied Mathematics

Medium

applied

$\dfrac{5}{21}$

$\dfrac{16}{21}$

$\dfrac{3}{7}$

$\dfrac{4}{7}$

✅ Correct Option: 3

Related questions:

30th May Shift 2

Match List-I with List-II

List-I	List-II
(A) Mean of a normal variate X is 12 and standard deviation is 4, then the Z-score of data point 20 is	(I) 1
(B) If X is Poisson variate such that P(X=1) = 2P(X=2), then the mean of X is	(II) 8
(C) In a binomial distribution, if mean is 5 and variance is 4, then the number of trials is	(III) 2
(D) In a binomial distribution, if n = 20 and q = 0.6, then its mean is	(IV) 25

Choose the correct answer from the options given below:

25th May Shift 1

If X is a random variable which can take values 0,1,2,3 such that $E(X^2) = 2E(X)$ .

If $P(X=0) = P(X=1) = m\ \&\ P(X=2) = 2m$ , then which of the following are TRUE?

A. $P(X=1) = \dfrac{1}{13}$

B. $P(X=3) = \dfrac{1}{13}$

C. $E(X) = \dfrac{18}{13}$

D. $P(X=2) = \dfrac{6}{13}$

Choose the correct answer from the options given below:

30 May Shift 3

In binomial distribution with $n = 10$ and $P = \frac{1}{3}$ , the probability of the event that unequal number of failures and successes occur is :

CUET Mathematics 2026 12th May Shift 2 PYQs