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If X is a random variable with mean 1 and variance 4, (i) what is the mean and variance of Y= 0.5(x-1)? (ii) Show

 

If X is a random variable with mean 1 and variance 4, (i) what is the mean and variance of Y= 0.5(x-1)? (ii) Show that E(x)=3. Suppose you are given the following probability distribution of X: X F(x) Find E(X) and var (X) 1 0.1 2 0.25 3 0.4 4 0.2 5 0.05

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i To find the mean and variance of Y 05X 1 we can use the following properties Mean of Y EY E05X ... blur-text-image

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