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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)?

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)?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Problem 3 Plz solve all parts kindly Take your time as u want to take but please give me exact and correct answer plz I need accurate answer plz Solve it and get a thumb up plz
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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