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) =O

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A survey of 94 college students was taken to determine the musical styles they liked. Of those, 43 students listened to rock, 37 to classical, and 38 to jazz. Also, 17 students listened to rock and jazz, 18 to rock and classical, and 14 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) =
с. Нow
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) =
Transcribed Image Text:A survey of 94 college students was taken to determine the musical styles they liked. Of those, 43 students listened to rock, 37 to classical, and 38 to jazz. Also, 17 students listened to rock and jazz, 18 to rock and classical, and 14 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) = с. Нow 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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