CUET Mathematics 2026 21st May Shift 1 PYQs

For 95% confidence interval for a population mean reported to be 132 to 142 with standard deviation $\sigma = 17.85$ then the sample size used in this case, is:

[Given that: $Z_{0.125} = 1.96$]

Which of the following are correct?

(A) The central limit theorem (CLT) states that the sampling distribution of the sample approaches a normal distribution as the sample size gets larger, no matter what is the shape of the population distribution.

(B) The measurable characteristic of population is called parameter.

(C) The population focuses on the identification of the characteristic.

(D) The sample makes inference about the population.

Choose the correct answer from the options given below:

Which of the following are true ?

(A) If the mean of a normal variate is 12 and standard deviation is 4, then the Z-score of data point 20 is 2.

(B) Mean of the numbers obtained on throwing a die having '1' on three faces, '2' on two faces and '5' on one face is 3.

(C) If the variance of a Poisson's distribution is 2, then $P(X=0)=\frac{1}{e^2}$.

(D) For a binomial distribution, mean = 9 and the standard deviation is $\frac{3}{2}$, then the number of trials is 12.

Choose the correct answer from the options given below: