X and Y are independent random variables each having density function of the form fv (u) = 2 · e- 2u for otherwise (b) E (X² + Y²) u 20 = 0 Find (a) E (X + Y) (c) E ( XY)

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E X and Y are independent random variables each having density function of the
form
= 2. e
2u for
fU (u)
= 0
otherwise
Find (a) E (X + Y)
(b) E (X² + Y²)
(c) E ( XY}
Transcribed Image Text:E X and Y are independent random variables each having density function of the form = 2. e 2u for fU (u) = 0 otherwise Find (a) E (X + Y) (b) E (X² + Y²) (c) E ( XY}
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