Electrical Engineering > GATE 2025 > Probability
Let X and Y be continuous random variables with probability density functions PX(x) and PY(y), respectively. Further, let Y=X2 and PX(x) = 1, x∈(0,1]; 0, otherwise. Which one of the following options is correct?
A
PY(y) = 1/(2√y), y∈(0,1]; 0, otherwise
B
PY(y) = 1, y∈(0,1]; 0, otherwise
C
PY(y) = 1.5√y, y∈(0,1]; 0, otherwise
D
PY(y) = 2y, y∈(0,1]; 0, otherwise

Correct : a

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