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 Are X1, X2, And Var(X)? (ii) If Y1 + Y2 = 25 And E(Y) =7.5, What Is Var(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 are x1, x2, and Var(X)? (ii) if y1 + y2 = 25 and E(Y) =7.5, what is Var(Y)?

- October 5, 2022 - Edwin Tunner

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 are x₁, x₂, and Var(X)?

(ii) if y₁ + 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)?

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