The 61 students in a classical music lecture class were polled, with the results that 35 like Wolfgang Amadeus Mozart, 34 like Ludwig von Beethoven, 30 like Franz Joseph Haydn, 13 like Mozart and Beethoven, 21 like Mozart and Haydn, 13 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. M B (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)
The 61 students in a classical music lecture class were polled, with the results that 35 like Wolfgang Amadeus Mozart, 34 like Ludwig von Beethoven, 30 like Franz Joseph Haydn, 13 like Mozart and Beethoven, 21 like Mozart and Haydn, 13 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. M B (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)
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:The 61 students in a classical music lecture class were polled, with the results that 35 like Wolfgang Amadeus Mozart, 34 like Ludwig von Beethoven, 30 like Franz Joseph Haydn, 13 like Mozart and Beethoven, 21 like Mozart and
Haydn, 13 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.
M
H
(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)
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