•A= registered voters who are 18 to 39 years old. O Part (a) Find P(C). (Enter your answer to two decimal places.) P(C) = 0.67 O Part (b) Find P(B). (Enter your answer to two decimal places.) P(B) = 0.6 O Part (e) Find P(CIA). (Enter your answer to two decimal places.) P(CJA) = 0.71 O Part (d) Find P(B|C). (Enter your answer to two decimal places.) P(BIC) = 0.78

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A Field Poll Survey reported that 57% of registered voters in a state 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 (registered voters in this state), the approval rating was 73%.
Seven in ten registered voters in this state said that the upcoming Supreme Court's ruling about the constitutionality of a proposition
was either very or somewhat important to them. Out of those registered voters who support same-sex marriage, 75% say the ruling is
important to them. In this problem, let the following apply.
•C = registered voters who support same-sex marriage
•B = registered voters who say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat
important to them
•A = registered voters who are 18 to 39 years old.
O Part (a)
Find P(C). (Enter your answer to two decimal places.)
P(C) = 0.67
O Part (b)
Find P(B). (Enter your answer to two decimal places.)
P(B) = 0.6
O Part (c)
Find P(CJA). (Enter your answer to two decimal places.)
P(C|A) = 0.71
O Part (d)
Find P(B|C). (Enter your answer to two decimal places.)
P(B|C) = 0.78
O Part (e)
O Part (1)
In words, what is BIC?
O Registered voters from the group of people who support same-sex marriage.
O Registered voters from the group of people who are 18 to 39 years old.
O Registered voters from the group of people who say the ruling about the constitutionality of the proposition is very or somewhat important to
them.
O Registered voters who say the ruling about the constitutionality of the proposition is very or somewhat important to them from the group of
registered voters who support same-sex marriage.
O Part (g)
Find P(C AND B). (Enter your answer to four decimal places.)
P(C AND B) =|
O Part (h)
In words, what is C AND B?
O Registered voters who support same-sex marriage or say the Supreme Court's ruling about the constitutionality of the proposition is very or
somewhat important to them.
O Registered voters who are 18 to 39 years old and support same-sex marriage.
O Registered voters who are 18 to 39 years old and say the Supreme Court's ruling about the constitutionality of the proposition is very or
somewhat important to them.
O Registered voters who support same-sex marriage and who say the Supreme Court's ruling about the constitutionality of the proposition is very
or somewhat important to them.
O Part (i)
Find P(C OR B). (Enter your answer to four decimal places.)
P(C OR B) =
O Part ()
Are C and B mutually exclusive events? Explain why or why not.
O No, because P(C AND B) is not equal to zero.
O No, because P(C AND B) is equal to zero.
O Yes, because P(C AND B) is equal to zero.
O Yes, because P(C AND B) is not equal to zero.
Transcribed Image Text:A Field Poll Survey reported that 57% of registered voters in a state 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 (registered voters in this state), the approval rating was 73%. Seven in ten registered voters in this state said that the upcoming Supreme Court's ruling about the constitutionality of a proposition was either very or somewhat important to them. Out of those registered voters who support same-sex marriage, 75% say the ruling is important to them. In this problem, let the following apply. •C = registered voters who support same-sex marriage •B = registered voters who say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them •A = registered voters who are 18 to 39 years old. O Part (a) Find P(C). (Enter your answer to two decimal places.) P(C) = 0.67 O Part (b) Find P(B). (Enter your answer to two decimal places.) P(B) = 0.6 O Part (c) Find P(CJA). (Enter your answer to two decimal places.) P(C|A) = 0.71 O Part (d) Find P(B|C). (Enter your answer to two decimal places.) P(B|C) = 0.78 O Part (e) O Part (1) In words, what is BIC? O Registered voters from the group of people who support same-sex marriage. O Registered voters from the group of people who are 18 to 39 years old. O Registered voters from the group of people who say the ruling about the constitutionality of the proposition is very or somewhat important to them. O Registered voters who say the ruling about the constitutionality of the proposition is very or somewhat important to them from the group of registered voters who support same-sex marriage. O Part (g) Find P(C AND B). (Enter your answer to four decimal places.) P(C AND B) =| O Part (h) In words, what is C AND B? O Registered voters who support same-sex marriage or say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them. O Registered voters who are 18 to 39 years old and support same-sex marriage. O Registered voters who are 18 to 39 years old and say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them. O Registered voters who support same-sex marriage and who say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them. O Part (i) Find P(C OR B). (Enter your answer to four decimal places.) P(C OR B) = O Part () Are C and B mutually exclusive events? Explain why or why not. O No, because P(C AND B) is not equal to zero. O No, because P(C AND B) is equal to zero. O Yes, because P(C AND B) is equal to zero. O Yes, because P(C AND B) is not equal to zero.
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