Suppose that X and Y have the joint probability distribution shown to the right. (a) Find the marginal distribution of X. (b) Find the marginal distribution of Y. (a) Select the correct choice below and fill in any answer boxes to complete your choice. (Type integers or decimals. Do not round.) X O A. g(x) X 1 3 OB. g(x) (b) Select the correct choice below and fill in any answer boxes to complete your choice. (Type integers or decimals. Do not round.) 3 5 O A. y h(y) 2 O B. y h(y) C y f(x,y) 1 3 5 2 0.138 0.294 0.168 4 0.092 0.196 0.112
Suppose that X and Y have the joint probability distribution shown to the right. (a) Find the marginal distribution of X. (b) Find the marginal distribution of Y. (a) Select the correct choice below and fill in any answer boxes to complete your choice. (Type integers or decimals. Do not round.) X O A. g(x) X 1 3 OB. g(x) (b) Select the correct choice below and fill in any answer boxes to complete your choice. (Type integers or decimals. Do not round.) 3 5 O A. y h(y) 2 O B. y h(y) C y f(x,y) 1 3 5 2 0.138 0.294 0.168 4 0.092 0.196 0.112
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Suppose that X and Y have the joint probability distribution shown to the right:
\[ \begin{array}{c|cc}
f(x,y) & x & 2 & 4 \\
\hline
y & & & \\
1 & 0.138 & 0.092 \\
3 & 0.294 & 0.196 \\
5 & 0.168 & 0.112 \\
\end{array} \]
(a) Find the marginal distribution of \(X\).
(b) Find the marginal distribution of \(Y\).
----
### (a) Select the correct choice below and fill in any answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
**A.**
\[ \begin{array}{c|cc}
x & 2 & 4 \\
\hline
g(x) & \boxed{} & \boxed{} \\
\end{array} \]
**B.**
\[ \begin{array}{c|cc}
x & 1 & 3 & 5 \\
\hline
g(x) & \boxed{} & \boxed{} & \boxed{} \\
\end{array} \]
### (b) Select the correct choice below and fill in any answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
**A.**
\[ \begin{array}{c|cc}
y & 1 & 3 & 5 \\
\hline
h(y) & \boxed{} & \boxed{} & \boxed{} \\
\end{array} \]
**B.**
\[ \begin{array}{c|cc}
y & 2 & 4 \\
\hline
h(y) & \boxed{} & \boxed{} \\
\end{array} \]
### Detailed Explanation of the Table:
The table provided contains a joint probability distribution for two variables \(X\) and \(Y\). The values in the table reflect the probability of \(X\) taking on specific values (2 or 4) simultaneously with \(Y\) taking on specific values (1, 3, or 5). Each cell within this table indexes a joint probability, \(f(x,y)\).
To find the marginal distribution for \(X\) or \(Y\), sum the appropriate rows or columns to get the total probabilities for each variable separately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f7a11c6-35df-4daf-855c-043e8f69fb75%2F13274fa2-9ec2-47c2-aec5-382ab2d28702%2Fkf1mjqr_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that X and Y have the joint probability distribution shown to the right:
\[ \begin{array}{c|cc}
f(x,y) & x & 2 & 4 \\
\hline
y & & & \\
1 & 0.138 & 0.092 \\
3 & 0.294 & 0.196 \\
5 & 0.168 & 0.112 \\
\end{array} \]
(a) Find the marginal distribution of \(X\).
(b) Find the marginal distribution of \(Y\).
----
### (a) Select the correct choice below and fill in any answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
**A.**
\[ \begin{array}{c|cc}
x & 2 & 4 \\
\hline
g(x) & \boxed{} & \boxed{} \\
\end{array} \]
**B.**
\[ \begin{array}{c|cc}
x & 1 & 3 & 5 \\
\hline
g(x) & \boxed{} & \boxed{} & \boxed{} \\
\end{array} \]
### (b) Select the correct choice below and fill in any answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
**A.**
\[ \begin{array}{c|cc}
y & 1 & 3 & 5 \\
\hline
h(y) & \boxed{} & \boxed{} & \boxed{} \\
\end{array} \]
**B.**
\[ \begin{array}{c|cc}
y & 2 & 4 \\
\hline
h(y) & \boxed{} & \boxed{} \\
\end{array} \]
### Detailed Explanation of the Table:
The table provided contains a joint probability distribution for two variables \(X\) and \(Y\). The values in the table reflect the probability of \(X\) taking on specific values (2 or 4) simultaneously with \(Y\) taking on specific values (1, 3, or 5). Each cell within this table indexes a joint probability, \(f(x,y)\).
To find the marginal distribution for \(X\) or \(Y\), sum the appropriate rows or columns to get the total probabilities for each variable separately.
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