Let X1, X2 and X3 be three independent and identically distributed random variables having N(0, 1) distribution. If U=2X1^2/(X2+X3)^2quadandquad V=2(X2-X3)^2/2X1^2+(X2+X3)^2, then which of the following statements is/are true?

Q38Section B (Section B)38 of 60

Distribution of normal variance ratios

Let $X_1, X_2$ and $X_3$ be three independent and identically distributed random variables having $N(0, 1)$ distribution. If $U=\frac{2X_1^2}{(X_2+X_3)^2}\quad\text{and}\quad V=\frac{2(X_2-X_3)^2}{2X_1^2+(X_2+X_3)^2},$ then 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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