Let X and Y be independent random variables with the joint distribution given in the table: Y=0 1 2 fx(X) X=0 .025 .015 .01 .05 1 .05 .03 .02 .2 2 .125 .975 .05 .25 3 .15 .09 .06 .3 4 .1 .06 .04 .2 5...

Let X and Y be independent random variables with the joint distribution given in the table:

	Y=0	1	2	fx(X)
X=0	.025	.015	.01	.05
1	.05	.03	.02	.2
2	.125	.975	.05	.25
3	.15	.09	.06	.3
4	.1	.06	.04	.2
5	.05	.03	.02	.1
fy(Y)	.5	.3	.2

Calculate E(X+Y), Var(X+Y), E(3X-10Y), Var(3X-10Y).

Jun 10, 2022

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