A random variable X has the probability density fundion 1 x,2 < x< 5 5 1 5-x,5 < x <8 f(x)= - 0, otherwise Calculate: (a) E(X). (b) Var (X). (c) P(2 3X < 4).

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A random variable X has the probability density fundion
1
x,2 < x< 5
5
1
5-x,5 < x <8
f(x)= -
0, otherwise
Calculate:
(a) E(X).
(b)
Var (X).
(c)
P(2 3X< 4).
Transcribed Image Text:A random variable X has the probability density fundion 1 x,2 < x< 5 5 1 5-x,5 < x <8 f(x)= - 0, otherwise Calculate: (a) E(X). (b) Var (X). (c) P(2 3X< 4).
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