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)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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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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