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3. Let Y be the sum of the four trait scores for a character chosen uniformly at random out of the pool of possible characters. What is E(Y)?

3. Let Y be the sum of the four trait scores for a character chosen uniformly at random out of the pool of possible characters. What is E(Y)?

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 3 Suppose you are customising a character in your favourite video game, and the character has four traits: brains, strength, charisma, and fun. You distribute fifteen points between these four traits, subject to the condition that each trait has at least one point and no more than five points. 1. How many ways are there to customise your character? 2. Let X be the brains score of a character chosen uniformly at random out of the pool of possible characters. What is P(X = 3)? 3. Let y be the sum of the four trait scores for a character chosen uniformly at random out of the pool of possible characters. What is E(Y)?
Transcribed Image Text:Problem 3 Suppose you are customising a character in your favourite video game, and the character has four traits: brains, strength, charisma, and fun. You distribute fifteen points between these four traits, subject to the condition that each trait has at least one point and no more than five points. 1. How many ways are there to customise your character? 2. Let X be the brains score of a character chosen uniformly at random out of the pool of possible characters. What is P(X = 3)? 3. Let y be the sum of the four trait scores for a character chosen uniformly at random out of the pool of possible characters. What is E(Y)?
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