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Chapter 3: Q. 72 (page 221)
If we know an Emotional Health Index Score is or more, what is the probability that it is ?
We know an emotional index score so the probability is
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Q and R are independent events. and . Find P(R).
A school has 200 seniors of whom 140 will be going to college next year. Forty will be going directly to work.The remainder are taking a gap year. Fifty of the seniors going to college play sports. Thirty of the seniors going directly to work play sports. Five of the seniors taking a gap year play sports. What is the probability that a senior is taking a gap year?
Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, prefer life in prison without parole over the death penalty for a person convicted of first degree murder. of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.
Find P(L AND C).
What is conditional probability?
On February , a Field Poll Survey reported that of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among year olds (California registered voters), the approval rating was . Six in ten California registered voters said that the upcoming Supreme Court’s ruling about the constitutionality of California’s Proposition was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, say the ruling is important to them.
In this problem, let: •
C = California registered voters who support same-sex marriage. • 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 years old.
a. Find P(C).
b. Find P(B).
c. Find P(C|A).
d. Find P(B|C).
e. In words, what is C|A?
f. In words, what is B|C?
g. Find P(C AND B).
h. In words, what is C AND B?
i. Find P(C OR B).
j. Are C and B mutually exclusive events? Show why or why not
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