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Chapter 3: Q. 108 (page 227)
The events "Other" and "Up for reelection in November 2016" are
a. mutually exclusive.
b. independent.
c. both mutually exclusive and independent.
d. neither mutually exclusive nor independent.
The events Other and Up for reelection in November 2016 are mutually exclusive.
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Find the probability that the person was Latino from the given data
A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:
a. Let F = the event of getting the white ball twice.
b. Let G = the event of getting two balls of different colors.
c. Let H = the event of getting white on the first pick.
d. Are F and G mutually exclusive?
e. Are G and H mutually exclusive?
A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(B AND D) = 0.20.
a. Find P(B|D).
b. Find P(D|B).
c. Are B and D independent?
d. Are B and D mutually exclusive?
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
What is the probability of drawing a red card in a standard deck of cards?
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