questions to be asnwered part of 6 parts: a. How many listened to only rock music?  n(only rock)=  b. How many listened to classical and jazz, but not rock? n(classical and jazz, not rock)= c. How many listened to classical or jazz, but not rock?  n( classical or jazz, not rock) = d. how many listened to music in exactly one of the musical styles? n( exactly one style) =  e. How many listened to music in exactly two of the musical styles?  n( exactly two styles) =  f.how many did not listen to any of the musical styles?  n( none)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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questions to be asnwered part of 6 parts:

a. How many listened to only rock music? 

n(only rock)= 

b. How many listened to classical and jazz, but not rock?

n(classical and jazz, not rock)=

c. How many listened to classical or jazz, but not rock? 

n( classical or jazz, not rock) =

d. how many listened to music in exactly one of the musical styles?

n( exactly one style) = 

e. How many listened to music in exactly two of the musical styles? 

n( exactly two styles) = 

f.how many did not listen to any of the musical styles? 

n( none) =

A survey of 121 college students was taken to determine the musical styles they liked. Of those, 57 students listened to rock, 41 to classical, and 48 to jazz. Also, 26 students
listened to rock and jazz, 27 to rock and classical, and 15 to classical and jazz. Finally, 10 students listened to all three musical styles. Construct a Venn diagram and determine the
cardinality for each region. Use the completed Venn Diagram to answer the following questions.
a. How many listened to only rock music?
n(only rock) =
G
Transcribed Image Text:A survey of 121 college students was taken to determine the musical styles they liked. Of those, 57 students listened to rock, 41 to classical, and 48 to jazz. Also, 26 students listened to rock and jazz, 27 to rock and classical, and 15 to classical and jazz. Finally, 10 students listened to all three musical styles. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions. a. How many listened to only rock music? n(only rock) = G
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