Exam 6: Probability
Exam 1: What Is Statistics43 Questions
Exam 2: Graphical Descriptive Techniques I93 Questions
Exam 3: Graphical Descriptive Techniques II183 Questions
Exam 4: Numerical Descriptive Techniques274 Questions
Exam 5: Data Collection and Sampling82 Questions
Exam 6: Probability234 Questions
Exam 7: Random Variables and Discrete Probability Distributions274 Questions
Exam 8: Continuous Probability Distributions215 Questions
Exam 9: Sampling Distributions153 Questions
Exam 10: Introduction to Estimation152 Questions
Exam 11: Introduction to Hypothesis Testing182 Questions
Exam 12: Inference About a Population147 Questions
Exam 13: Inference About Comparing Two Populations170 Questions
Exam 14: Analysis of Variance153 Questions
Exam 15: Chi-Squared Tests175 Questions
Exam 16: Simple Linear Regression and Correlation298 Questions
Exam 17: Multiple Regression157 Questions
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Drunk Drivers
Six hundred accidents that occurred on a Saturday night were analyzed.Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.The numbers are shown below:
-{Drunk Drivers Narrative} If 3 vehicles were involved, what proportion of accidents involved alcohol?
(Short Answer)
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(76)
Suppose A and B are two independent events for which P(A) = 0.20 and P(B) = 0.60.
a.
Find P(A and B).
b.
Find P(A or B).
(Short Answer)
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Which of the following is an approach to assigning probabilities?
(Multiple Choice)
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Financial Consultants
A Financial Consultant has classified his clients according to their gender and the composition of their investment portfolio (primarily bonds, primarily stocks, or a balanced mix of bonds and stocks).The proportions of clients falling into the various categories are shown in the following table:
One client is selected at random, and two events A and B are defined as follows:
A: The client selected is male.
B: The client selected has a balanced portfolio.
-{Financial Consultants Narrative} Find P(A and B).
(Short Answer)
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Drunk Drivers
Six hundred accidents that occurred on a Saturday night were analyzed.Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.The numbers are shown below:
-{Drunk Drivers Narrative} What proportion of accidents involved alcohol or a single vehicle?
(Short Answer)
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Condo Sales and Interest Rates
The probability that condo sales will increase in the next 6 months is estimated to be 0.30.The probability that the interest rates on condo loans will go up in the same period is estimated to be 0.75.The probability that condo sales or interest rates will go up during the next 6 months is estimated to be 0.90.
-{Condo Sales and Interest Rates Narrative} What is the probability that neither condo sales nor interest rates will increase during the next six months?
(Short Answer)
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If two events are mutually exclusive, what is the probability that one or the other occurs?
(Multiple Choice)
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Conditional probabilities are also called likelihood probabilities.
(True/False)
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Mutual Fund Price
An investor estimates that there is a 75% chance that a particular mutual fund's price will increase to $100 per share over the next three weeks, based on past data.
-{Mutual Fund Price Narrative} Which approach was used to produce this figure?
(Essay)
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Messenger Service
Three messenger services deliver to a small town in Oregon.Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%.Their on-time rates are 80%, 60%, and 40% respectively.Define event O as a service delivers a package on time.
-{Messenger Service Narrative} If a package was delivered on time, what is the probability that it was service B?
(Essay)
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Posterior probability of an event is the revised probability of the event after new information is available.
(True/False)
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Tea and Seltzer
Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both.
-{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult does not drink seltzer?
(Short Answer)
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The intersection of events A and B is the event that occurs when:
(Multiple Choice)
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Suppose two events A and B are related.The ____________________ probability of A is the probability that A occurs, regardless of whether event B occurred or not.
(Short Answer)
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A survey of a magazine's subscribers indicates that 50% own a house, 80% own a car, and 90% of the homeowners also own a car.What proportion of subscribers:
a.
own both a car and a house?
b.
own a car or a house, or both?
c.
own neither a car nor a house?
(Short Answer)
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If the event of interest is A, the probability that A will not occur is the complement of A.
(True/False)
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College Professorship
A Ph.D.graduate has applied for a job with two colleges: A and B.The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B.If she receives an offer from college B, she believes that she has an 80% chance of receiving an offer from college A.Let A = receiving an offer from college A, and let B = receiving an offer from college B.
-{College Professorship Narrative} What is the probability that both colleges will make her an offer?
(Short Answer)
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If A and B are any two events with P(A) = .8 and P(B|Ac) = .7, then P(Ac and B) is
(Multiple Choice)
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If P(A) = 0.20, P(B) = 0.30, and P(A and B) = 0, then A and B are:
(Multiple Choice)
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Prior probabilities can be calculated using the multiplication rule for mutually exclusive events.
(True/False)
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