Q49Section ST (Statistics (Q11–Q65))49 of 65

Independence and t, F constructions

Let $X_1, X_2$ , and $X_3$ be independent standard normal random variables, and let $Y_1 = X_1 - X_2$ , $Y_2 = X_1 + X_2 - 2X_3$ and $Y_3 = X_1 + X_2 + X_3$ . Then which of the following options is/are correct?

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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