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var(aX+bY)=a²var(X)+b²var(Y) , if X and Y are independent

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 show that var(aX+bY)=a²var(X)+b²var(Y) , if X and Y are independent
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use the definition var(U) = E {[ U- E(U)]² }
 answer and  some steps are given below
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(trig. formulae) 





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