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In: Statistics and Probability

X ∼ exp(λ). Determine PDF of Y for the following cases. Make sure that you specify...

X ∼ exp(λ). Determine PDF of Y for the following cases. Make sure that you specify the range for Y values. Be extra cautious with many-to-one mappings.
(a) Y = X − X2
(b)  Y = 16 − X4
(b) Y = cos(X).

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