a. Conditional probability distribution of Y given that X = 1.5. y fy1.5(y) 2 3 b. Conditional probability distribution of X given that Y = 2. fx2(x) 1.5 i c. E(Y|X = 1.5)
a. Conditional probability distribution of Y given that X = 1.5. y fy1.5(y) 2 3 b. Conditional probability distribution of X given that Y = 2. fx2(x) 1.5 i c. E(Y|X = 1.5)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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Consider the joint distribution given below. Give exact answers (in form of fraction if needed).
| x | y | fXY(x, y) |
|---|---|---|
| 1.0 | 1 | 1/4 |
| 1.5 | 2 | 1/8 |
| 1.5 | 3 | 1/4 |
| 2.5 | 4 | 1/4 |
| 3.0 | 5 | 1/8 |
Determine the following:
a. Conditional
| y | fY|1.5(y) |
|---|---|
| 2 | Enter your answer; f_{Y|1.5}(2) |
| 3 | Enter your answer; f_{Y|1.5}(3) |
b. Conditional probability distribution of X given that Y = 2.
| x | fX|2(x) |
|---|---|
| 1.5 | Enter your answer; f_{X|2}(1.5) |
c. E(Y|X = 1.5)
Enter your answer; E(Y|X = 1.5)
d. Are X and Y independent?
Transcribed Image Text:Consider the joint distribution given below. Give exact answers (in form of fraction if needed).
y
fxy(x, y)
1.0
1
1/4
1.5
2
1/8
1.5
3
1/4
2.5
4
1/4
3.0
1/8
Determine the following:
a. Conditional probability distribution of Y given thatX= 1.5.
y
fy1.5(y)
2
3
b. Conditional probability distribution of X given that Y = 2.
fx2(x)
1.5
i
с. Е(Y\X - 1.5)
d. Are Xand Y independent?
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