Question

given var(x) =5 and var(y) =2 then va(2x-3y)=​

Answer 1

Step-by-step explanation:

)

(a) E(X+Y)=E(X)+E(Y)=2+3=5

(b) Var(2X-3Y)=4Var(X)+9Var(Y)-2*2*3Cov(X,Y) = 16+81-24=73

(c) E(2X-Y+2Z) = 2*2-3+2*4=9

(d) Var(2X-Y+2Z) = Var(2X-Y)+Var(2Z) = 4*Var(X)+Var(Y)-2*2Cov(X,Y) +4Var(Z)

= 16+9-8+64=81

(e) E(X2) = Var(X) + E(X)2= 4+4=8

(f) E(ZX + Y2) = E(ZX) + E( Y2) =E(Z)E(X)+ E( Y2) =4*2+9+9=26

(g) Let V=44-2X+3Y-3Z

E(V)=44-2(2)+3(3)-3(4) = 37,

Var(V) = Var((-2X+3Y)+(-3Z))=Var(-2X+3Y)+Var(-3Z)=4(4)+9(9)+2(-2)(3)(2) +9(16) =217

(h) What is the correlation

between X and Y: 2/(2*3) = 1/3

between X and Z: 0

between Y and Z: 0

Answer 2

Answer:

means and variances

Step-by-step explanation:

means and variances of combinations (solution) (a) E(X+Y)=E(X)+E(Y)=2+3=5 (b) Var(2X-3Y)=4Var(X)+ 9Var(Y)-2*2*3Cov(X,Y) = 16+81-24=73

I hope this helps you

I hope this helps you✌❤️ Happy Mother's day ❤️✌

I hope this helps you✌❤️ Happy Mother's day ❤️✌✌❤️ Happy Learning ❤️✌