Music Class No Music Class Total Art Class 165 315 480 No Art Class 135 585 720 Total 300 900 1,200 Based on the information in the table, are the events "Music Class" and "Art Class" independent? O No, some students are taking both a music class and an art class. O Yes, some students are taking both a music class and an art class. 300 480 O No, the probability of taking a music class is different from the probability of taking an art class 1,200 1,200 O No, the probability of taking a music class is different for students taking an art class than it is for students not taking an art class. O Yes, the probability of taking a music class is different for students taking an art class than it is for students not taking an art class.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 7YT
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A school offers music classes and art classes as electives. The table shows the number of students currently enrolled in music and art classes.

Music Class
No Music Class
Total
Art Class
165
315
480
No Art Class
135
585
720
Total
300
900
1,200
Based on the information in the table, are the events "Music Class" and "Art Class" independent?
O No, some students are taking both a music class and an art class.
O Yes, some students are taking both a music class and an art class.
300
480
O No, the probability of taking a music class
is different from the probability of taking an art class
1,200
1,200
O No, the probability of taking a music class is different for students taking an art class than it is for students not
taking an art class.
O Yes, the probability of taking a music class is different for students taking an art class than it is for students not
taking an art class.
Transcribed Image Text:Music Class No Music Class Total Art Class 165 315 480 No Art Class 135 585 720 Total 300 900 1,200 Based on the information in the table, are the events "Music Class" and "Art Class" independent? O No, some students are taking both a music class and an art class. O Yes, some students are taking both a music class and an art class. 300 480 O No, the probability of taking a music class is different from the probability of taking an art class 1,200 1,200 O No, the probability of taking a music class is different for students taking an art class than it is for students not taking an art class. O Yes, the probability of taking a music class is different for students taking an art class than it is for students not taking an art class.
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