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Official PYQ · 2003

GATE EC 2003 Set 1 Q65 — Probability and Statistics

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Data for Q. 65-66 are given below. Solve the problems and choose the correct answers.

Let XX be the Gaussian random variable obtained by sampling the process at t=tit=t_{i} and let

Q(α)=∫α∞12πex22dy\mathrm{Q}(\alpha)=\int_{\alpha}^{\infty} \frac{1}{\sqrt{2 \pi}} e^{\frac{x^{2}}{2}} d y

The probability that [x≤1][x \leq 1] is

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Answer: A

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