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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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Use the following information to answer the next exercises. The graph shown is based on more than interviews 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.
What is the range of the data?
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 ?
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?
What is the probability of rolling a prime 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.
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