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Official PYQ · 2023

GATE EC 2023 Set 1 Q26 — Probability and Statistics

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A random variable X\mathrm{X}, distributed normally as N(0,1)\mathrm{N(0,1)} undergoes the transformation
Y=h(X)\mathrm{Y}=\mathrm{h}(\mathrm{X}), given in the figure. The form of the probability density function of  Y\mathrm{Y} is

(In the options given below, a,b,ca, b, c are non-zero constants and g(y)g(y) is piece-wise continuous function).

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Answer: B

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