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Chapter 3: Q.41 (page 217)
J and K are independent events. P(J|K) = 0.3. Find P(J).
as J and K are independent events.
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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
Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in
South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean
region).
Let A = the event that a country is in Asia.
Let E = the event that a country is in Europe.
Let F = the event that a country is in Africa.
Let N = the event that a country is in North America.
Let O = the event that a country is in Oceania.
Let S = the event that a country is in South America.
Find P(E).
Mark is deciding which route to take to work. His choices are I = the Interstate and F = Fifth Street.
•
• role="math" localid="1652098516712" because Mark will take only one route to work.
What is the probability of ?
Use the The graph shown is based on more thaninterviews done by Gallup that took place from January through December . The sample consists of employed Americans years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.
Find the probability that an Emotional Health Index Score is
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(D|B) = 0.5.
a. Find P(B′).
b. Find P(D AND B).
c. Find P(B|D).
d. Find P(D AND B′).
e. Find P(D|B′).
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