Let X1 ~ N (0, 1), X2 ~ N(0,1), and X3 ~ x(n) be mutally independent random variables. Find the probability distribution of (a) X = X1±X2 (b) X² + X} + X3

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Let X1 ~ N (0, 1), X2 ~ N(0,1), and X3 ~ x(n) be mutally independent random
variables. Find the probability distribution of
(a) X = X1±X2
(b) X² + X} + X3
Transcribed Image Text:Let X1 ~ N (0, 1), X2 ~ N(0,1), and X3 ~ x(n) be mutally independent random variables. Find the probability distribution of (a) X = X1±X2 (b) X² + X} + X3
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