Use the following probability model for the next 4 questions. We define each state by using two codes. For the first part, A or B. For the second art, an integer between 1 and 3. state s probability P(s) realization X(s) realization Y(s) 00 A1 .1 50 20 A2 .2 20 20 АЗ 20 20 B1 botles an 50otn mmo50niwo aris se dod li B2 oni ei X.2 bns Xesl 20 mo 9 50sved seoqque B3 .1 50 20

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Help with 4.34 - 4.41 please
(x) ECY)
work #4
A howemoH
+3+1.5= 23
Use the following probability model for the next 4 questions.
X3 al tedW SE oitesu
We define each state by using two codes. For the first part, A or B. For the second
part, an integer between 1 and 3.
+ e +4.st
08 d
state s probability P(s) realization X(s) realization Y(s)
A1
.1
A2
50
20
.2
20
9 130
20
АЗ
a
20
20
B1
botles can 50 otnemot50niwolot orld eU
pni ai X.2 bns X eol 20v mons 9 50 ved seoqque
Y diod iw
B2
ВЗ
.1
50
20
S bna
Suppose that P({the first part of codes = A} | {the second part of codes = 3}) = 0.75.
Question 4.34. What is (a, b)?
+X)vo
ar (S)1sV
a. (0.20,0.20)
b. (0.25,0.15)
c. (0.30,0.10)
d. (0.35,0.05)
407
Question 4.35. Which of the following is true?
10)+
a. E(X) > E(Y)
b. E(X) < E(Y)
c. E(X+ Y) = 0
d. E(X- Y) = 0
Question 4.36. What is Cov(3X, 2Y)?
а. 9
b. 18
X)vo of Inups ei gaiwolloi sr to rlaidW.0A.boile
с. 27
d. 54
(SeV d
(S+Vo
Transcribed Image Text:(x) ECY) work #4 A howemoH +3+1.5= 23 Use the following probability model for the next 4 questions. X3 al tedW SE oitesu We define each state by using two codes. For the first part, A or B. For the second part, an integer between 1 and 3. + e +4.st 08 d state s probability P(s) realization X(s) realization Y(s) A1 .1 A2 50 20 .2 20 9 130 20 АЗ a 20 20 B1 botles can 50 otnemot50niwolot orld eU pni ai X.2 bns X eol 20v mons 9 50 ved seoqque Y diod iw B2 ВЗ .1 50 20 S bna Suppose that P({the first part of codes = A} | {the second part of codes = 3}) = 0.75. Question 4.34. What is (a, b)? +X)vo ar (S)1sV a. (0.20,0.20) b. (0.25,0.15) c. (0.30,0.10) d. (0.35,0.05) 407 Question 4.35. Which of the following is true? 10)+ a. E(X) > E(Y) b. E(X) < E(Y) c. E(X+ Y) = 0 d. E(X- Y) = 0 Question 4.36. What is Cov(3X, 2Y)? а. 9 b. 18 X)vo of Inups ei gaiwolloi sr to rlaidW.0A.boile с. 27 d. 54 (SeV d (S+Vo
Homework #4
sbom ilidedlong an
fon
Question 4.37. What is E(X|Y = 50) + E(Y]X = 50
а. 30
b. 60
OY noidesileon OX nadesilnon ()1 dilidadongstnla
IA
c. 90
d. 120
SA
ra
Use the following information for the next 4 questions.
Suppose we have three random variables X, Y, and Z. X is independent with both Y
and Z.
Var(Y) = 10-hoolo hg biose sal HA -Var(Y + Z) = 20 t})9isrt s20gque
Var(Z) = 16
Cov(X+ Y, X+ Z) = 22
n) ei tariWEA norles
Question 4.38. What is SD(X)?
a. 5
(ar0.es.0) d
(01.0.00 0)
(20,0,28.0) .b
Sord ai yniwollol orb to bilv.EA roitennO
b. 10
с. 20
d. 25
Question 4.39. What is SD( V
+ V5Y )?
9ECO> BOJ
P ECO<BU
a. 5
b. 10
c. 20
0-((-X)3b
d. 25
Question 4.40. Which of the following is equal to Cov(X + Y, Y+ Z) + Cov(X+ Z, Y+ Z)?
a. Var(Y)
b. Var(Z)
c. Var(Y+ Z)
d. Cov(Y, Z)
81 d
Question 4.41. What is V ar( (X+Y +Z))?
a. 5
b. 15
c. 25
d. 45
Transcribed Image Text:Homework #4 sbom ilidedlong an fon Question 4.37. What is E(X|Y = 50) + E(Y]X = 50 а. 30 b. 60 OY noidesileon OX nadesilnon ()1 dilidadongstnla IA c. 90 d. 120 SA ra Use the following information for the next 4 questions. Suppose we have three random variables X, Y, and Z. X is independent with both Y and Z. Var(Y) = 10-hoolo hg biose sal HA -Var(Y + Z) = 20 t})9isrt s20gque Var(Z) = 16 Cov(X+ Y, X+ Z) = 22 n) ei tariWEA norles Question 4.38. What is SD(X)? a. 5 (ar0.es.0) d (01.0.00 0) (20,0,28.0) .b Sord ai yniwollol orb to bilv.EA roitennO b. 10 с. 20 d. 25 Question 4.39. What is SD( V + V5Y )? 9ECO> BOJ P ECO<BU a. 5 b. 10 c. 20 0-((-X)3b d. 25 Question 4.40. Which of the following is equal to Cov(X + Y, Y+ Z) + Cov(X+ Z, Y+ Z)? a. Var(Y) b. Var(Z) c. Var(Y+ Z) d. Cov(Y, Z) 81 d Question 4.41. What is V ar( (X+Y +Z))? a. 5 b. 15 c. 25 d. 45
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