9.1.5 Random variables X and Y have joint PDF 120, y 20, z+ys1, 10 otherwise. fx.x(z, v) - What is the variance of W = X + Y ?

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Q: 13. Find the correlation coefficient between X and Y if the joint pdf of X and Y is given by

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Q: Suppose W = (aX + 3Y) 2 where Y, X are two random variables with zero mean and variances 20x = 4,…

A: As, X~N(0,4) and Y~N(0,16) E[x] = 0 Var[x] = 4 E(x)2 - [E(x)]2 = 4 E(x)2 - 0 = 4 E(x)2 = 4 Now, E[y]…

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Q: 1n,T 3. Suppose {Uit}1t=1 be i.i.d. variables with mean zero and variance o?. Show that for each i,…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.