I. Find P(C U B). J. Are C and B mutually exclusive events? Show why or why not.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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CO
3
On February 28, 2013, a Field Poll Survey reported that 61% of California registered voters approved of
allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18
to 39 year olds (California registered voters), the approval rating was 78%. Six in ten California registered
voters said that the upcoming Supreme Court's ruling about the constitutionality of California's Proposition
8 was either very or somewhat important to them. Out of those CA registered voters who support same-sex
marriage, 75% say the ruling is important to them.
2.
In this problem, let:
4.
C = California registered voters who support same-sex marriage.
%3D
B = California registered voters who say the Supreme Court's ruling about the constitutionality of
California's Proposition 8 is very or somewhat important to them
A = California registered voters who are 18 to 39 years old.
%3D
7.
%3D
8
6.
a. Find P(C).
10
b. Find P(B).
c. Find P(C|A).
d. Find P(B|C).
11
12
13
e. In words, what is C|A?
f. In words, what is B|C?
14
15
g. Find P(C n B).
16
h. In words, what is Cn B?
17
E rind Diclp
Transcribed Image Text:CO 3 On February 28, 2013, a Field Poll Survey reported that 61% of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (California registered voters), the approval rating was 78%. Six in ten California registered voters said that the upcoming Supreme Court's ruling about the constitutionality of California's Proposition 8 was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, 75% say the ruling is important to them. 2. In this problem, let: 4. C = California registered voters who support same-sex marriage. %3D B = California registered voters who say the Supreme Court's ruling about the constitutionality of California's Proposition 8 is very or somewhat important to them A = California registered voters who are 18 to 39 years old. %3D 7. %3D 8 6. a. Find P(C). 10 b. Find P(B). c. Find P(C|A). d. Find P(B|C). 11 12 13 e. In words, what is C|A? f. In words, what is B|C? 14 15 g. Find P(C n B). 16 h. In words, what is Cn B? 17 E rind Diclp
CO
6
J3
A
H.
K
a. Find P(C).
b. Find P(B).
c. Find P(C|A).
75%
75
100
10
60%
10
11
0.96%
78
61
12
d. Find P(B|C).
80%
means that California registered voters who support same-sex marriage are from California
means that California registered voters who say that the Supreme Court's ruling is important
13
e. In words, what is C|A?
14
f. In words, what is B|C?
15
g. Find P(C n B).
h. In words, what is Cn B?
45%
16
Means that 45% of calfornia through age 18 to 39 registered voters beleive in supporting sam
I. Find P(C U B).
j. Are C and B mutually exclusive events? Show why or why not.
17
18
19
20
21
22
23
24
25
26
27
LO3-1
LO3-3
LO3
Transcribed Image Text:CO 6 J3 A H. K a. Find P(C). b. Find P(B). c. Find P(C|A). 75% 75 100 10 60% 10 11 0.96% 78 61 12 d. Find P(B|C). 80% means that California registered voters who support same-sex marriage are from California means that California registered voters who say that the Supreme Court's ruling is important 13 e. In words, what is C|A? 14 f. In words, what is B|C? 15 g. Find P(C n B). h. In words, what is Cn B? 45% 16 Means that 45% of calfornia through age 18 to 39 registered voters beleive in supporting sam I. Find P(C U B). j. Are C and B mutually exclusive events? Show why or why not. 17 18 19 20 21 22 23 24 25 26 27 LO3-1 LO3-3 LO3
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