Let X have the density f(x) = 2x if 0 ≤ x ≤ 1 and f(x) = 0 otherwise. The mean and variance of the random variable Y = −2X + 3 respectively are

1
2/3 and 1/18
2
5/3 and 29/9
3
5/3 and 1/18
4
5/3 and 2/9

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