A density function f is defined by { f(x) = c(1-x) c(x-1) 0 for 0 < x < 1, for 1 < x < 2, otherwise. Evaluate c, sketch f and find the expectation and variance of the associated distribu- tion.

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A density function f is defined by
f(x) =
=
c(1x)
for 0 < x < 1,
c(x-1) for 1<x<2,
0
otherwise.
Evaluate c, sketch f and find the expectation and variance of the associated distribu-
tion.
Transcribed Image Text:A density function f is defined by f(x) = = c(1x) for 0 < x < 1, c(x-1) for 1<x<2, 0 otherwise. Evaluate c, sketch f and find the expectation and variance of the associated distribu- tion.
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