A survey of 126126 college students was taken to determine the musical styles they liked. Of those, 5151 students listened to rock, 5252 to...

A survey of

126126

college students was taken to determine the musical styles they liked. Of​ those,

5151

students listened to​ rock,

5252

to​ classical, and

5050

to jazz.​ Also,

2424

students listened to rock and​ jazz,

2626

to rock and​ classical, and

1717

to classical and jazz.​ Finally,

88

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)equals=nothing

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

n​(classical

and​ jazz, not

​rock)equals=nothing

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

n​(classical

or​ jazz, not

​rock)equals=nothing

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

n​(exactly

one

​style)equals=nothing

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

n​(exactly

two

​styles)equals=nothing

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

n​(none)equals=nothing

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