(a) How many of these students like exactly two of these composers? student(s) (Simplify your answer.) (b) How many of these students like exactly one of these composers? student(s) (Simplify your answer.) (c) How many of these students like none of these composers? student(s) (Simplify your answer.) (d) How many of these students like Mozart, but neither Beethoven nor Haydn? student(s) (Simplify your answer.) (e) How many of these students like Haydn and exactly one of the other two? student(s) (Simplify your answer.) (f) How many of these students like no more than two of these composers? student(s) (Simplify your answer.)
(a) How many of these students like exactly two of these composers? student(s) (Simplify your answer.) (b) How many of these students like exactly one of these composers? student(s) (Simplify your answer.) (c) How many of these students like none of these composers? student(s) (Simplify your answer.) (d) How many of these students like Mozart, but neither Beethoven nor Haydn? student(s) (Simplify your answer.) (e) How many of these students like Haydn and exactly one of the other two? student(s) (Simplify your answer.) (f) How many of these students like no more than two of these composers? student(s) (Simplify your answer.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Transcribed Image Text:(a) How many of these students like exactly two of these composers?
student(s)
(Simplify your answer.)
(b) How many of these students like exactly one of these composers?
student(s)
(Simplify your answer.)
(c) How many of these students like none of these composers?
student(s)
(Simplify your answer.)
(d) How many of these students like Mozart, but neither Beethoven nor Haydn?
student(s)
(Simplify your answer.)
(e) How many of these students like Haydn and exactly one of the other two?
student(s)
(Simplify your answer.)
(f) How many of these students like no more than two of these composers?
student(s)
(Simplify your answer.)
Transcribed Image Text:The 66 students in a classical music lecture class were polled, with the results that 36 like Wolfgang Amadeus Mozart, 36 like Ludwig von
Beethoven, 33 like Franz Joseph Haydn, 14 like Mozart and Beethoven, 21 like Mozart and Haydn, 15 like Beethoven and Haydn, and 8
like all three composers. Use a Venn diagram to complete parts (a) through (f) below.
Complete the Venn diagram. Let M be the set of students that like Mozart, B be the set of students that like Beethoven, and H be the set of
students that like Haydn.
U
S=
t=
U=
V=
W=
X=
y=
Z=
S
M
W
t
V
y
H
B
...
u
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