Two Basic Rules of Probability · Exercise 11
On February 28, 2013, a Field Poll Survey reported that 61 percent of California registered voters approved of a law that was about to be passed. Among 18- to 39-year olds (California registered voters), the approval rating was 78 percent. Six in 10 California registered voters said that the upcoming Supreme Courts ruling about the constitutionality of the law was either very or somewhat important to them. Out of those registered voters who supported the law, 75 percent say the ruling is important to them.
In this problem, let
• C = California registered voters who supported the law,
• B = California registered voters who say the Supreme Courts ruling about the law is very or somewhat important to them, and
• A = California registered voters who are 18 to 39 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.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §3.3 Two Basic Rules of Probability · Exercise 11
No hints for this one.
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