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Using the joint probability table below, determine P(X = 1, Y = 7). Amin Y 3 -10 1 0.05 0.15 0.05 0.3 0.15 0.15 5 0 7 0.1 0.05

Using the joint probability table below, determine P(X = 1, Y = 7). Amin Y 3 -10 1 0.05 0.15 0.05 0.3 0.15 0.15 5 0 7 0.1 0.05

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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**Problem Statement:** Using the joint probability table below, determine \( P(X = 1, Y = 7) \). **Joint Probability Table:** | \( Y \backslash X \) | \(-1\) | 0 | 1 | |----------------------|-------|----|----| | 3 | 0.05 | 0.15 | 0.05 | | 5 | 0 | 0.3 | 0.15 | | 7 | 0.1 | 0.05 | 0.15 | **Explanation:** The table shows the joint probabilities of two random variables \( X \) and \( Y \). Each cell in the table represents \( P(X=x, Y=y) \), where \( x \) is the column value and \( y \) is the row value. To find \( P(X = 1, Y = 7) \), look at the cell where \( X = 1 \) and \( Y = 7 \). The value in this cell is 0.15. Therefore, \( P(X = 1, Y = 7) = 0.15 \).
Transcribed Image Text:**Problem Statement:** Using the joint probability table below, determine \( P(X = 1, Y = 7) \). **Joint Probability Table:** | \( Y \backslash X \) | \(-1\) | 0 | 1 | |----------------------|-------|----|----| | 3 | 0.05 | 0.15 | 0.05 | | 5 | 0 | 0.3 | 0.15 | | 7 | 0.1 | 0.05 | 0.15 | **Explanation:** The table shows the joint probabilities of two random variables \( X \) and \( Y \). Each cell in the table represents \( P(X=x, Y=y) \), where \( x \) is the column value and \( y \) is the row value. To find \( P(X = 1, Y = 7) \), look at the cell where \( X = 1 \) and \( Y = 7 \). The value in this cell is 0.15. Therefore, \( P(X = 1, Y = 7) = 0.15 \).
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