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Please explain in details, and I don't want answers copied from other WEBSITES ANSWERS . Thanks! #1 Let X1, X2, . .. X20 be independent

Please explain in details, and I don't want answers copied from other WEBSITES ANSWERS. Thanks!

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Let X1, X2, . .. X20 be independent identically distributed random vari- ables each with mean 1 and variance 2. Calculate Var(X1 + X2+ . . . + X20) and Var (20X1).The joint density function of the random variables X and Y is c(x + y) exp{-(x +y)}, x > 0, y>0. (a) Find c (b) Find the covariance of X and Y. (c) Find the correlation coefficient

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