Consider the outcome of the roll of two fair dice. In this case, the sample space S consists of all pairs of numbers (n, m) where 1 ≤ n ≤ 6 and 1 m 6. Each of the 36 points in the sample space have the same probability. Give two different random variables defined on S that are equal in distribution. (Hint: Don't make this problem harder than it is. I just want to see if you understand the concept of random variable.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Consider the outcome of the roll of two fair dice. In this case, the sample space \( S \) consists of all pairs of numbers \((n, m)\) where \(1 \leq n \leq 6\) and \(1 \leq m \leq 6\). Each of the 36 points in the sample space have the same probability.**

**Give two different random variables defined on \( S \) that are equal in distribution.**

*(Hint: Don't make this problem harder than it is. I just want to see if you understand the concept of random variable.)*
Transcribed Image Text:**Consider the outcome of the roll of two fair dice. In this case, the sample space \( S \) consists of all pairs of numbers \((n, m)\) where \(1 \leq n \leq 6\) and \(1 \leq m \leq 6\). Each of the 36 points in the sample space have the same probability.** **Give two different random variables defined on \( S \) that are equal in distribution.** *(Hint: Don't make this problem harder than it is. I just want to see if you understand the concept of random variable.)*
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