f(x, y) = { 0, elsewhere The following picture (not to scale) shows the "support" of this joint pdf: 2 y = 2x
f(x, y) = { 0, elsewhere The following picture (not to scale) shows the "support" of this joint pdf: 2 y = 2x
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
![Consider the following joint par of two random variables X and Y:
f(x,y) = {10,
The following picture (not to scale) shows the "support" of this joint pdf:
Dr
[₁
2
1
0≤x≤ 1,0 ≤ y ≤ 2x
elsewhere
y = 2x
6
Cppose an analyst observes a particular outcome (xo, Yo) drawn from the joint pdf f(x, y) above.
We are told the value of xo and asked to "guess" the value of the accompanying yo. True or false: knowing the
value of xo is useless for guessing the value of yo? Provide an intuitive explanation, using graphs if necessary.
Provide an intuitive counter-example to your answer (showing the support of the counter-example joint pdf).
] Show that A 1/2.
ntel Derive f(x) and compute E[X] and o.
...s] Derive f (y) and compute E[Y] and o.
.] Derive f (ylx) and compute E[YIX]. Based on your answer for E[YIX] do you think the two random](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc93dd3a-e660-4464-bc8c-e382a2c34aae%2F86358669-a4e4-44e8-967e-725d5478b4f0%2F0wqpbv_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following joint par of two random variables X and Y:
f(x,y) = {10,
The following picture (not to scale) shows the "support" of this joint pdf:
Dr
[₁
2
1
0≤x≤ 1,0 ≤ y ≤ 2x
elsewhere
y = 2x
6
Cppose an analyst observes a particular outcome (xo, Yo) drawn from the joint pdf f(x, y) above.
We are told the value of xo and asked to "guess" the value of the accompanying yo. True or false: knowing the
value of xo is useless for guessing the value of yo? Provide an intuitive explanation, using graphs if necessary.
Provide an intuitive counter-example to your answer (showing the support of the counter-example joint pdf).
] Show that A 1/2.
ntel Derive f(x) and compute E[X] and o.
...s] Derive f (y) and compute E[Y] and o.
.] Derive f (ylx) and compute E[YIX]. Based on your answer for E[YIX] do you think the two random
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