Question 4.30. What is Var(X + Y1) + Var(X – Y2)? 50, 08 a. 20 b. 23 or 08 С. 26 d. 29

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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Help with 4.30 - 4.32 please!
Question 4.29. What is E(X + Y]Z = 10)?o ai 1sdw,0- (S+X
a. 40
b. 45
с. 50
d. 55
Use the following information for the next 3 questions.
Suppose that we have three random variables X, Y1, and Y2. Yı and Y2 are from an
identical distribution and independent to each other.
Var(Yi) = 8 for i= 1, 2 i69T()ilidedonga oteie
or
Var(X) = 5
CO.
or
Question 4.30. What is Var(X + Y1) + Var(X - Y2)?
50,
a. 20
08.
b. 23
or
08
С. 26
d. 29
08
Question 4.31. If Var(aX) + Var(Yı + Y2) = 36, what is Var(a(Yı + Y2))?airlWS.A roilesu
a. 16
b. 32
0 (S Y)vod
C. 48
d. 64
(S)x6V<(X)16V b
Question 4.32. If Var(X+ Y1+ Y2) = 25, what is Cov(X, Yi) for i = 1, 2? edW S otlesu
a. 1
b. 2
С. 3
2.00-2
d. 4
2.80-b
Question 4.33. Suppose that we have two random variables X and Y. Which of the
following is NOT true?
a. If X and Y are independent, Corr(X, Y) = 0.
b. If Corr(X, Y) = 0, X and Y are independent.
c. If E(Y) = 0, Cov(X, Y) = E(XY).
d. Corr(X, Y) lies between -1 and 1.
%3D
Transcribed Image Text:Question 4.29. What is E(X + Y]Z = 10)?o ai 1sdw,0- (S+X a. 40 b. 45 с. 50 d. 55 Use the following information for the next 3 questions. Suppose that we have three random variables X, Y1, and Y2. Yı and Y2 are from an identical distribution and independent to each other. Var(Yi) = 8 for i= 1, 2 i69T()ilidedonga oteie or Var(X) = 5 CO. or Question 4.30. What is Var(X + Y1) + Var(X - Y2)? 50, a. 20 08. b. 23 or 08 С. 26 d. 29 08 Question 4.31. If Var(aX) + Var(Yı + Y2) = 36, what is Var(a(Yı + Y2))?airlWS.A roilesu a. 16 b. 32 0 (S Y)vod C. 48 d. 64 (S)x6V<(X)16V b Question 4.32. If Var(X+ Y1+ Y2) = 25, what is Cov(X, Yi) for i = 1, 2? edW S otlesu a. 1 b. 2 С. 3 2.00-2 d. 4 2.80-b Question 4.33. Suppose that we have two random variables X and Y. Which of the following is NOT true? a. If X and Y are independent, Corr(X, Y) = 0. b. If Corr(X, Y) = 0, X and Y are independent. c. If E(Y) = 0, Cov(X, Y) = E(XY). d. Corr(X, Y) lies between -1 and 1. %3D
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