CUET Mathematics 2025 19 May Shift 1 PYQs

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

Match List-I with List-II

Choose the correct answer from the options given below:

Which of the following statements are NOT correct about Standard Normal Distribution?

(A) The probability curve of the Standard Normal Distribution is a bell-shaped curve.

(B) The Standard Normal variate (Z) score describes the position of each data point in terms of its distance from the mean, when measured in standard deviation units.

(C) The Z-score is negative if the data point lies above the mean, and positive if it lies below the mean.

(D) There is a 95.45 % probability of randomly selecting a score between $\mu - \sigma$ and $\mu + \sigma$, when $\sigma$ is standard deviation and $\mu$ is mean.

Choose the correct answer from the options given below:

A die is tossed once. If the random variable X is defined as $X = \begin{cases} 1, & \text{if the die result in an odd number} \\ -1, & \text{if the die result in an even number} \end{cases}$, then the variance of X is