2. Given the cumulative distribution function (cdf)

F(x)=(0 x<4
(x-4)/4 4 <= x <8
1 x >=8
2.1 Using the cdf, compute P(5<X<6).
2.2 What is the pdf of X?
2.3 Using the pdf, compute P(X<7).
2.4 What is E(X)?
2.5 What is V(X)?

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