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Mathematics, 28.07.2021 19:20 drewdean5545

A survey of 75 college students was taken to determine the musical styles they liked. Of​ those, 28 students listened to​ rock,23 to​ classical, and 27 to jazz.​ Also, 14 students listened to rock and​ jazz, 9 to rock and​ classical, and 10 to classical and jazz.​ Finally, 5 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)

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)

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