A Field Poll Survey reported that 51% 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%. Six 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, 78% 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. Part (a) Find P(C). (Enter your answer to two decimal places.) P(C)= Part (b) Find P(B). (Enter your answer to two decimal places.) P(B) = Part (c) Find P(CIA). (Enter your answer to two decimal places.) P(CIA) = Part (d) Find P(BIC). (Enter your answer to two decimal places.) P(B|C)= Part (e) In words, what is C|A? Registered voters from the group of people who support same-sex marriage. ○ Registered voters who are 18 to 39 years old from the group of registered voters who support same-sex marriage. ○ Registered voters from the group of people who are 18 to 39 years old. ○ Registered voters who support same-sex marriage from the group of registered voters who are 18 to 39 years old. Part (f) In words, what is B|C? ◇ Registered voters who say the ruling about the constitutionality of the proposition very or somewhat important to them from the group of registered voters who support same-sex marriage. ◇ Registered voters from the group of people who say the ruling about the constitutionality of the proposition is very or somewhat important to them. Registered voters from the group of people who are 18 to 39 years old. ○ Registered voters from the group of people who support same-sex marriage. Part (g) Find P(C AND B). (Enter your answer to four decimal places.) P(C AND B) = Part (h) In words, what is C AND B? ○ 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. ○ 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. ○ 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. ○ Registered voters who are 18 to 39 years old and support same-sex marriage. Part (i) Find P(C OR B). (Enter your answer to four decimal places.) P(C OR B) = Part (j) Are C and B mutually exclusive events? Explain why or why not. O Yes, because P(C AND B) is equal to zero. No, because P(C AND B) is equal to zero. No, because P(C AND B) is not equal to zero. Yes, because P(C AND B) is not equal to zero.