Question: 5.11 The joint probability density function of two random variables X and X is given by fx1, x(x1, x2) = { = K, 0. 1

5.11 The joint probability density function of two random variables X and X is given by fx1, x(x1, x2) = { = K, 0. 1 0, 2 0, x1 + x2 2 otherwise. (a) Find the value of K that makes fx,x(x1, x2) a valid joint PDF. (b) Find the joint cumulative distribution function for: (i) 0 x1 2 and 0 x2 0.5].

The joint probability density function of two random variables X1 and X2 is given by fX1,X2(x1,x2)={K,0,x10,x20,x1+x22otherwise (a) Find the value of K that makes fX1,X2(x1,x2) a valid joint PDF. (b) Find the joint cumulative distribution function for: (i) 0x12 and 0x22; (ii) 1x10 and 2x21; (c) Using the joint CDF found in (b), find the probability Pr[X1 0.5]

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