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Z Z xyfX(x)fY (y)dxdy = Z xfX(x)dx Z yfY (y)dy = EXEY 64 Function of two random variables Suppose X and Y are jointly continuous random variables Let g(x,y) be a function from R2 to R We define a new random variable by Z = g(X,Y) Recall that we have already seen how to compute the expected value of Z In 7 É 5 6 h 1 / P Q À X R v * \ 2 p L o ¾ I 7 @ 0 1 * \ 2 > Ê / Ë U § Y À * L C \ 5 7 @ 0 1 p n 7 @ 0 1 / p * \ Ì t R v § k À * \ 7 5 / 0 1 Í Q Â Y É 5 6 h 7 @ 0 1 n o I * 1 5 > I J w @ * 0 \ C I J M m > @ * \ C I J M ´ 7 @ * C > 1 0 6 I J M Ð 7 @ * C > \ Ñ 0 6 I J M Ò @ \ C > I8 (0 points), page 64, problem 6 (d) sol There is a student in your school who is enrolled in Math 222 and in CS 252 (e) sol There are two different students x and y such that if the student xtakes the class z, Cute Animal Alphabet Funny Cartoon Character A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A b c d e f g q r s t u v w x y z

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