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Official PYQ · 2006

GATE EC 2006 Set 1 Q52 — Probability and Statistics

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A uniformly distributed random variable XX with probability density function
fγ(x)=110(tr(x+5)−u(x−5))f_{\gamma}(x)=\frac{1}{10}(t r(x+5)-u(x-5))
where u(.)u(.) is the unit step function is passed through a transformation given in the figure below. The probability density function of the transformed random variable YY would be

 

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Answer: C

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