Suppose that X and Y have the joint probability distribution shown to the right:\[ \begin{array}{c|cc}f(x,y) & x & 2 & 4 \\\hliney & & & \\1 & 0.138 & 0.092 \\3 & 0.294 & 0.196 \\5 & 0.168 & 0.112 \\\end{array} \](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.**\[ \begin{array}{c|cc}x & 2 & 4 \\\hlineg(x) & \boxed{} & \boxed{} \\\end{array} \]**B.**\[ \begin{array}{c|cc}x & 1 & 3 & 5 \\\hlineg(x) & \boxed{} & \boxed{} & \boxed{} \\\end{array} \]### (b) Select the correct choice below and fill in any answer boxes to complete your choice.(Type integers or decimals. Do not round.)**A.**\[ \begin{array}{c|cc}y & 1 & 3 & 5 \\\hlineh(y) & \boxed{} & \boxed{} & \boxed{} \\\end{array} \]**B.**\[ \begin{array}{c|cc}y & 2 & 4 \\\hlineh(y) & \boxed{} & \boxed{} \\\end{array} \]### 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.

Given : Joint probability distribution : x 2 4 1 0.138 0.092 y 2 0.294 0.196…

Answered: Suppose that X and Y have the joint…

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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