Official PYQ · 2026Set 1 · Q28Probability and StatisticsMCQ2 marks

GATE EC 2026 Set 1 Q28 — Probability and Statistics

Let $X, N, Y$ and $Z$ be random variables. The variables $X$ and $N$ are independent of each other. $X$ is uniformly distributed between $-1$ and $1 ; N$ follows Normal distribution with zero mean and unity variance.

$Y$ and $Z$ are defined as, $Y=X+N$ and $Z=X^{2}+N$ .

Which of the following pairs represents the values of correlation between $X$ and $Y$ and that between $X$ and $Z$ ?

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Answer: A

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Published 10 Oct 2026

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