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(Solved): X and Y are independent normal random variables with means mu_(X)=7.5 and mu_(Y)=11 and standard dev ...
X and Y are independent normal random variables with means mu_(X)=7.5 and mu_(Y)=11 and standard deviations sigma_(X)=10.5 and sigma_(Y)=10. Let
W=11x-5Y-3. Find the following:
(a) The mean of W :
\mu _(W)=
(b) The standard deviation of W :
\sigma _(W)=
(c) P(11x-5Y>3)=