EC > GATE 2023 > Probability Distributions
A random variable X, distributed normally as N(0, 1), undergoes the transformation Y = h(X), given in the figure. The form of the probability density function of Y is (In the options given below, a, b, c are non-zero constants and g(y) is piece-wise continuous function.)
A
aδ(y - 1) + bδ(y + 1) + g(y)
B
aδ(y + 1) + bδ(y) + cδ(y - 1) + g(y)
C
aδ(y + 2) + bδ(y) + cδ(y - 2) + g(y)
D
aδ(y + 2) + bδ(y - 2) + g(y)

Correct : d

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