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Chapter 3: Q.42 (page 217)
U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. Find:
a. P(U AND V)
b. P(U|V)
c. P(U OR V)
a.
b.
c.
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Explain what is wrong with the following statements. Use complete sentences.
a. If there is a chance of rain on Saturday and chance of rain on Sunday, then there is a chance of rain over the weekend.
b. The probability that a baseball player hits a home run is greater than the probability that he gets a successful hit.
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鈥檚 ruling about the constitutionality of California鈥檚 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: 鈥�
C = California registered voters who support same-sex marriage. 鈥� B = California registered voters who say the Supreme Court鈥檚 ruling about the constitutionality of California鈥檚 Proposition 8 is very or somewhat important to them 鈥� 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 rolling an even number of dots with a fair, six-sided die numbered one through six?
At a college, of courses have final exams and of courses require research papers. Suppose that of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.
a. Find the probability that a course has a final exam or a research project.
b. Find the probability that a course has NEITHER of these two requirements.
After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late , the Forum Research polled people to measure the mayor鈥檚 popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced:
鈥� In early percent of the population approved of Mayor Ford鈥檚 actions in office.
鈥� In mid-percent of the population approved of his actions.
鈥� In late , the percentage of popular approval was measured at percent.
a. What is the sample size for this study?
b. What proportion in the poll disapproved of Mayor Ford, according to the results from late ?
c. How many people polled responded that they approved of Mayor Ford in late ?
d. What is the probability that a person supported Mayor Ford, based on the data collected in mid-?
e. What is the probability that a person supported Mayor Ford, based on the data collected in early ?
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