Question 1 - Mean of Random variables X and Y is 4.2 and 2.4 respectively. Standard deviation of X and Y is 6 and 4 respectively. Calculate the expected value and variance of random variable W given by X + Y

E[W] = E[X1 + X2] = E[X1] + E[X2] = 4.2 + 2.4 = 6.6 V[W] = V[X1 + X2] = V[X1] + V[X2] = 36 + 16 = 52

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