uniform[a, b] and Y~ N(a, For 0 < a < b = 3a, suppose two random variables X b-). From these two random variables, we can define the following new random variable W =X+ Y where E(W) = 6 and Var(W) = a. Question 6.59. Which of the following is true?s iol tollsrmotni pniwollot eri pnieu a. E(X) > E( eeldehev mobnsi Insbneqebni ns s16 o1srl terii seoqqua b. E(Y) > E(X) c. Cov(X, Y) < 0 d. Cov(X, Y) > 0 mobnsi wan owl eniteb a'le Ye1erlw bnis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 88E
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6.59 - 6.62
Question 6.58. If P(Z1 + Z2 sk) = P(Z1 - Z2 2 k), what is k? enitab e'leJ 88.8 nota
а. 25
Y is
b. 50
starc. 75
d. 100
PIY 4) P 1
Si ai Jsriw
ZY-XE)9 bns (,0M lemon bisbnela s et S A8.0 noilee
8
Use the following information for the next 4 questions.
For 0 < a < b = 3a, suppose two random variables X ~ uniform[a, b] and Y ~ N(a,
b-). From these two random variables, we can define the following new random variable
W = X+ Y where E(W) = 6 and Var(W) = a.
Question 6.59. Which of the following is true?s iol tiollermoini pniwollot eri pnieu
a. E(X) > E(W)
b. E(Y) > E(X)
c. Cov(X, Y) <0v mobaBi wan owl eniteb a'lel.()M-Y e19rlw bns
d. Cov(X, Y) > 0
eeldshsv mobnsi Inebnegebni nS s1s 1er leri eeogqua
Question 6.60. What is SD(W)?
а. 1
b. 2
с. 3
Sn ai JerW 8.3 noiteeuO
d. 4
Question 6.61. Let's Z be a standard normal random variable N(0,1). What is k satisfying
P(Y< k) = P(Z < 1.5)?
lons
а. 9
b. 10
q 30
4 el JerW ae.8 noteeu
С. 11
0.s
d. 12
Question 6.62. What is Var(3X)?
a. 8
b. 12
с. 16
d. 20
ON
OT b
Transcribed Image Text:Question 6.58. If P(Z1 + Z2 sk) = P(Z1 - Z2 2 k), what is k? enitab e'leJ 88.8 nota а. 25 Y is b. 50 starc. 75 d. 100 PIY 4) P 1 Si ai Jsriw ZY-XE)9 bns (,0M lemon bisbnela s et S A8.0 noilee 8 Use the following information for the next 4 questions. For 0 < a < b = 3a, suppose two random variables X ~ uniform[a, b] and Y ~ N(a, b-). From these two random variables, we can define the following new random variable W = X+ Y where E(W) = 6 and Var(W) = a. Question 6.59. Which of the following is true?s iol tiollermoini pniwollot eri pnieu a. E(X) > E(W) b. E(Y) > E(X) c. Cov(X, Y) <0v mobaBi wan owl eniteb a'lel.()M-Y e19rlw bns d. Cov(X, Y) > 0 eeldshsv mobnsi Inebnegebni nS s1s 1er leri eeogqua Question 6.60. What is SD(W)? а. 1 b. 2 с. 3 Sn ai JerW 8.3 noiteeuO d. 4 Question 6.61. Let's Z be a standard normal random variable N(0,1). What is k satisfying P(Y< k) = P(Z < 1.5)? lons а. 9 b. 10 q 30 4 el JerW ae.8 noteeu С. 11 0.s d. 12 Question 6.62. What is Var(3X)? a. 8 b. 12 с. 16 d. 20 ON OT b
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