A "battle of the bands" competition is being held at a local high school, and 20 bands are competing. Eight of the bands have a female lead singer. Of these, four are categorized as "electronic" and four are "acoustic." Of the twelve bands that do not have a female lead singer, five are categorized as "electronic" and seven are "acoustic." If we choose one of the bands at random, are the events "having a female lead singer" and "being categorized as electronic" independent?   yes, because the two events change each other's chances no, because the two events describe different variables no, because the two events change each other's chances yes, because the two events describe different variables

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 12CYU
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A "battle of the bands" competition is being held at a local high school, and 20 bands are competing.

Eight of the bands have a female lead singer. Of these, four are categorized as "electronic" and four are "acoustic."

Of the twelve bands that do not have a female lead singer, five are categorized as "electronic" and seven are "acoustic."

If we choose one of the bands at random, are the events "having a female lead singer" and "being categorized as electronic" independent?

 

yes, because the two events change each other's chances
no, because the two events describe different variables
no, because the two events change each other's chances
yes, because the two events describe different variables
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