x P(X = x) y P(Y = y) -10 .1 0 .2 0 x 1 5 .3 10 x 2 y 1 .3 20 .4 y 2 .2 (i) if E(X) = 10, what are x 1 , x 2 , and Var(X)? (ii) if y 1 + y 2 = 25 and E(Y) =7.5, what is Var(Y)? (iii) suppose X and Y...

x	P(X = x)	y	P(Y = y)
-10	.1	0	.2
0	x₁	5	.3
10	x₂	y₁	.3
20	.4	y₂	.2

(i) if E(X) = 10, what arex₁, x₂,
and Var(X)?

(ii) ify₁+y₂= 25 and E(Y) =7.5, what is Var(Y)?

(iii) suppose X and Y are independent. What are Var(X - Y) and SD(X - Y)?

Jun 08, 2022

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