4. Two fair three-sided dice are rolled simultaneously. Let X be the difference of the two rolls. Calculate the PMF, the expected value, and the variance of X.
4. Two fair three-sided dice are rolled simultaneously. Let X be the difference of the two rolls. Calculate the PMF, the expected value, and the variance of X.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:4. Two fair three-sided dice are rolled simultaneously. Let X be the difference of the two rolls. Calculate
the PMF, the expected value, and the variance of X.
Expert Solution
Step 1
It is given that 2 fair 3 – sided dice are rolled simultaneously. X is the difference of the two rolls
When 2 fair, 3 – sided dice are rolled, there can be a total of 9 different outcomes
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