Let (X, Y) be a random vector having joint probability density function given by fX,Y(x,y) = begincases frac34 & if x^2 le y < 1 and -1 le x le 1 0 & otherwise. endcases Which of the following statements is/are true?

Q51Section ST (Statistics (Q11–Q65))51 of 65

Parabolic support joint density statements

Let $(X, Y)$ be a random vector having joint probability density function given by $f_{X,Y}(x,y) = \begin{cases} \frac34 & \text{if } x^2 \le y < 1 \text{ and } -1 \le x \le 1 \ 0 & \text{otherwise.} \end{cases}$ Which of the following statements is/are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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