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If X~N(3, 4), Y~N(-2, 6), Z~N(1, 3), and X and Y and Z are independent, what...

If X~N(3, 4), Y~N(-2, 6), Z~N(1, 3), and X and Y and Z are independent, what are the distribution, expectation and variance of S = 3X-2Y+Z?

Notation: N(3, 4) is a Normal RV with mean 3 and variance 4.

math   Statistics-And-Probability   
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