Let X be a random variable with density function:
f(x) = x if x ∈ (0, 1]
2 − x if x ∈ (1, 2]
0 the rest
Determine the distribution and density functions of the random variables:
a) Y = X + 1;
b) Y = −1/2X;
c) Y = X^2;

answer:

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explanation:

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answer:

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explanation: