5.The continuous random variable X has the cumulative density function given by x < 0 1 x² 2 0 < x < 1 F(x) = 1 x2 – 1 1< x < 2 2x - - x > 2 Determine the probability distribution function of X, f (x).

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5.The continuous random variable X has the cumulative density function given by
x < 0
1
x2
0 < x < 1
F(x) =
1
x² – 1 1<x < 2
2x
-
-
x > 2
Determine the probability distribution function of X, f (x).
Transcribed Image Text:5.The continuous random variable X has the cumulative density function given by x < 0 1 x2 0 < x < 1 F(x) = 1 x² – 1 1<x < 2 2x - - x > 2 Determine the probability distribution function of X, f (x).
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