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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Hobby Shop Sales
Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks.
-{Hobby Shop Sales Narrative} Define the random experiment of interest to the store.
(Essay)
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Marital Status
An insurance company has collected the following data on the gender and marital status of 570 customers.
Suppose that a customer is selected at random.
-{Marital Status Narrative} Develop the joint probability table.
(Essay)
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There are situations where we witness a particular event and we need to compute the probability of one of its possible causes.____________________ is the technique we use to do this.
(Short Answer)
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P(A|B) is the conditional probability of ____________________ given ____________________.
(Short Answer)
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If two events are mutually exclusive, their joint probability is ____________________.
(Short Answer)
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Construction Bids
A construction company has submitted bids on two separate state contracts, A and B.The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B.Furthermore, the company believes that it has an 80% chance of winning contract A if it wins contract B.
-{Construction Bids Narrative} What is the probability that the company will win neither contract?
(Short Answer)
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Business Majors
Suppose 30% of business majors major in accounting.You take a random sample of 3 business majors.
-{Business Majors Narrative} What is the chance that at least one majors in accounting?
(Short Answer)
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If P(A) = 0.4 and P(B) = 0.6, then A and B must be collectively exhaustive.
(True/False)
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GPA and Class
A college professor classifies his students according to their grade point average (GPA) and their class rank.GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors).One student is selected at random.
-{GPA and Class Narrative} If the GPA of the student selected is over 3.0, what is the probability that the student is in the lower class?
(Short Answer)
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Two events A and B are said to be independent if P(A|B) = P(B).
(True/False)
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Business Majors
Suppose 30% of business majors major in accounting.You take a random sample of 3 business majors.
-{Business Majors Narrative} What is the chance that they all major in accounting?
(Short Answer)
5.0/5
(84)
Construction Bids
A construction company has submitted bids on two separate state contracts, A and B.The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B.Furthermore, the company believes that it has an 80% chance of winning contract A if it wins contract B.
-{Construction Bids Narrative} What is the probability that the company will win at least one of the two contracts?
(Essay)
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Bayes' Law can be used to calculate posterior probabilities, prior probabilities, as well as new conditional 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} Interpret the 75% probability.
(Essay)
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Two or more events are said to be independent when the occurrence of one event has no effect on the probability that another will occur.
(True/False)
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If the events A and B are independent with P(A) = 0.35 and P(B) = 0.45, then the probability that both events will occur simultaneously is:
(Multiple Choice)
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GPA and Class
A college professor classifies his students according to their grade point average (GPA) and their class rank.GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors).One student is selected at random.
-{GPA and Class Narrative} If the student selected is in the upper class, what is the probability that her GPA is between 2.0 and 3.0?
(Short Answer)
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If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:
(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} Express each of the following events in words:
a.
A or B
b.
A and B
(Essay)
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Suppose we have two events A and B.We can apply the addition rule to compute the probability that at least one of these events occurs.
(True/False)
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