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The distributions of X and Y are described below if X and Y are independent, determine the joint probability distribution of X and Y X 0 X 01 P(X)0 280 72 Y 1 2 3 PY)0 430 230 34

The distributions of X and Y are described below if X and Y are independent, determine the joint probability distribution of X and Y X 0 X 01 P(X)0 280 72 Y 1 2 3 PY)0 430 230 34

MATLAB: An Introduction with Applications
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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The distributions of X and Y are described below. If X and Y are independent, determine the joint probability distribution of X and Y. ### Probability Distribution #### For X: - P(X = 0) = 0.28 - P(X = 1) = 0.72 #### For Y: - P(Y = 0) = 0.43 - P(Y = 2) = 0.23 - P(Y = 3) = 0.34 ### Grid Representation A grid with the X values listed at the top (0 and 1) and Y values listed on the left (0, 1, 2, 3). Each cell within the grid is marked by small square blocks to possibly illustrate occurrences or count which could be filled with joint probabilities when calculated. However, specific numerical values are not provided within the grid. To determine the joint probability distribution, calculate P(X = x, Y = y) = P(X = x) * P(Y = y) for all combinations of X and Y, assuming independence.
Transcribed Image Text:The distributions of X and Y are described below. If X and Y are independent, determine the joint probability distribution of X and Y. ### Probability Distribution #### For X: - P(X = 0) = 0.28 - P(X = 1) = 0.72 #### For Y: - P(Y = 0) = 0.43 - P(Y = 2) = 0.23 - P(Y = 3) = 0.34 ### Grid Representation A grid with the X values listed at the top (0 and 1) and Y values listed on the left (0, 1, 2, 3). Each cell within the grid is marked by small square blocks to possibly illustrate occurrences or count which could be filled with joint probabilities when calculated. However, specific numerical values are not provided within the grid. To determine the joint probability distribution, calculate P(X = x, Y = y) = P(X = x) * P(Y = y) for all combinations of X and Y, assuming independence.
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