6. Let Yi and Y2 be independent exponential random variables, both with mean O > 0. Let U = and V = Y, +Y,. Using a change of variable technique, Y, +Y (a) find the probability density function of U. (b) find the probability density function of V.

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6. Let Yi and Y2 be independent exponential random variables, both with mean 0>0. Let
U = -
and V = Y, +Y,. Using a change of variable technique,
%3D
Y, +Y;
(a) find the probability density function of U.
(b) find the probability density function of V.
Transcribed Image Text:6. Let Yi and Y2 be independent exponential random variables, both with mean 0>0. Let U = - and V = Y, +Y,. Using a change of variable technique, %3D Y, +Y; (a) find the probability density function of U. (b) find the probability density function of V.
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