Let X∼N(5,4)X \sim N(5, 4) and Y∼N(3,9)Y \sim N(3, 9) where…
Let X∼N(5,4)X \sim N(5, 4) and Y∼N(3,9)Y \sim N(3, 9) where XX and YY are independent random variables. Calculate the expectation and variance of the linear combination Z=3X−2YZ = 3X – 2Y. Note: X∼N(5,4)X \sim N(5, 4) – this notation is saying that X is distributed as normal with mean 5 and variance 4. Same notation applies to Y.