Random variables X and Y have density functions £x(x) == [u(x)-u(x-a)] a and fy(y) = bu(y)e-by where a>0 and b>0. Find and sketch the density functions of W=X+Y if X and Y are statistically independent.

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Random variables X and Y have density functions
ƒx(x) = _[u(x)-u(x-a)]
a
and
fy(y) = bu(y)e-by
where a>0 and b>0. Find and sketch the density functions of W = X + Y if X and Y are
statistically independent.
Transcribed Image Text:Random variables X and Y have density functions ƒx(x) = _[u(x)-u(x-a)] a and fy(y) = bu(y)e-by where a>0 and b>0. Find and sketch the density functions of W = X + Y if X and Y are statistically independent.
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