Question 1

The union of events A and B is the event containing all the sample points belonging to

Accepted Answer

A) B or A 
B) A or B 
C) A or B or both 
D) A or B, but not both 
A) B or A 
B) A or B 
C) A or B or both 
D) A or B, but not both C

Question 2

If P(A) = 0.45, P(B) = 0.55, and P(A $\cup$ B) = 0.78, then P(A | B) =

Accepted Answer

A) zero 
B) 0.45 
C) 0.22 
D) 0.40 
A) zero 
B) 0.45 
C) 0.22 
D) 0.40 D

Question 3

Each individual outcome of an experiment is called

Accepted Answer

A) the sample space 
B) a sample point 
C) an experiment 
D) an individual 
A) the sample space 
B) a sample point 
C) an experiment 
D) an individual B

Question 4

The range of probability is

Accepted Answer

A) any value larger than zero 
B) any value between minus infinity to plus infinity 
C) zero to one 
D) any value between -1 to 1 
A) any value larger than zero 
B) any value between minus infinity to plus infinity 
C) zero to one 
D) any value between -1 to 1

Question 5

Four workers at a fast food restaurant pack the take-out chicken dinners. John packs 45% of the dinners but fails to include a salt packet 4% of the time. Mary packs 25% of the dinners but omits the salt 2% of the time. Sue packs 30% of the dinners but fails to include the salt 3% of the time. You have purchased a dinner and there is no salt.
a.Find the probability that John packed your dinner.
b.Find the probability that Mary packed your dinner.

Accepted Answer

The answer of Four workers at a fast food restaurant...

Question 6

In a random sample of UTC students 50% indicated they are business majors, 40% engineering majors, and 10% other majors. Of the business majors, 60% were females; whereas, 30% of engineering majors were females. Finally, 20% of the other majors were female.
a.What percentage of students in this sample was female?
b.Given that a person is female, what is the probability that she is an engineering major?

Accepted Answer

The answer of In a random sample of UTC students...

Question 7

On a December day, the probability of snow is .30. The probability of a "cold" day is .50. The probability of snow and "cold" weather is .15. Are snow and "cold" weather independent events?

Accepted Answer

A) only if given that it snowed 
B) no 
C) yes 
D) only when they are also mutually exclusive 
A) only if given that it snowed 
B) no 
C) yes 
D) only when they are also mutually exclusive

Question 8

Events A and B are mutually exclusive if their joint probability is

Accepted Answer

A) larger than 1 
B) less than zero 
C) zero 
D) infinity 
A) larger than 1 
B) less than zero 
C) zero 
D) infinity

Question 9

A method of assigning probabilities based on historical data is called the

Accepted Answer

A) classical method 
B) subjective method 
C) relative frequency method 
D) historical method 
A) classical method 
B) subjective method 
C) relative frequency method 
D) historical method

Question 10

If two events are independent, then

Accepted Answer

A) they must be mutually exclusive 
B) the sum of their probabilities must be equal to one 
C) their intersection must be zero 
D) None of these alternatives is correct. 
A) they must be mutually exclusive 
B) the sum of their probabilities must be equal to one 
C) their intersection must be zero 
D) None of these alternatives is correct.

Question 11

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A $\cup$ B) =

Accepted Answer

A) 0.62 
B) 0.12 
C) 0.60 
D) 0.68 
A) 0.62 
B) 0.12 
C) 0.60 
D) 0.68

Question 12

Assume your favorite soccwr team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

Accepted Answer

A) 2 
B) 4 
C) 6 
D) 9 
A) 2 
B) 4 
C) 6 
D) 9

Question 13

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A $\cup$ B) =

Accepted Answer

A) 0.65 
B) 0.55 
C) 0.10 
D) 0.75 
A) 0.65 
B) 0.55 
C) 0.10 
D) 0.75

Question 14

Initial estimates of the probabilities of events are known as

Accepted Answer

A) sets 
B) posterior probabilities 
C) conditional probabilities 
D) prior probabilities 
A) sets 
B) posterior probabilities 
C) conditional probabilities 
D) prior probabilities

Question 15

If P(A) = 0.50, P(B) = 0.40, then, and P(A $\cup$ B) = 0.88, then P(B | A) =

Accepted Answer

A) 0.02 
B) 0.03 
C) 0.04 
D) 0.05 
A) 0.02 
B) 0.03 
C) 0.04 
D) 0.05

Question 16

If P(A) = 0.58, P(B) = 0.44, and P(A $\cap$ B) = 0.25, then P(A $\cup$B) =

Accepted Answer

A) 1.02 
B) 0.77 
C) 0.11 
D) 0.39 
A) 1.02 
B) 0.77 
C) 0.11 
D) 0.39

Question 17

Assume that each year the IRS randomly audits 10% of the tax returns. If a married couple has filed separate returns,
a.What is the probability that both the husband and the wife will be audited?
b.What is the probability that only one of them will be audited?
c.What is the probability that neither one of them will be audited?
d.What is the probability that at least one of them will be audited?

Accepted Answer

a.0.01
b.0

Question 18

The following table shows the number of students in three different degree programs and whether they are graduate or undergraduate students:
 
a.What is the probability that a randomly selected student is an undergraduate?
b.What percentage of students are engineering majors?
c.If we know that a selected student is an undergraduate, what is the probability that he or she is a business major?
d.A student is enrolled in the Arts and Sciences school. What is the probability that the student is an undergraduate student?
e.What is the probability that a randomly selected student is a graduate Business major?

Accepted Answer

a.0.8
b.35

Question 19

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B)

Accepted Answer

A) is 0.00 
B) is 1.00 
C) is 0.5 
D) None of these alternatives is correct. 
A) is 0.00 
B) is 1.00 
C) is 0.5 
D) None of these alternatives is correct.

Question 20

A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not review have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students review for the test.
a.Find the probability of scoring above 400.
b.Find the probability that a student who scored above 400 reviewed for the test.

Accepted Answer

The answer of A survey of business students who had...

The union of events A and B is the event containing all the sample points belonging to

If P(A) = 0.45, P(B) = 0.55, and P(A $\cup$ B) = 0.78, then P(A | B) =

Each individual outcome of an experiment is called

The range of probability is

On a December day, the probability of snow is .30. The probability of a "cold" day is .50. The probability of snow and "cold" weather is .15. Are snow and "cold" weather independent events?

Events A and B are mutually exclusive if their joint probability is

A method of assigning probabilities based on historical data is called the

If two events are independent, then

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A $\cup$ B) =

Assume your favorite soccwr team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A $\cup$ B) =

Initial estimates of the probabilities of events are known as

If P(A) = 0.50, P(B) = 0.40, then, and P(A $\cup$ B) = 0.88, then P(B | A) =

If P(A) = 0.58, P(B) = 0.44, and P(A $\cap$ B) = 0.25, then P(A $\cup$ B) =

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B)

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

Exam 4: Introduction to Probability

The union of events A and B is the event containing all the sample points belonging to

If P(A) = 0.45, P(B) = 0.55, and P(A ∪\cup∪ B) = 0.78, then P(A | B) =

Each individual outcome of an experiment is called

The range of probability is

On a December day, the probability of snow is .30. The probability of a "cold" day is .50. The probability of snow and "cold" weather is .15. Are snow and "cold" weather independent events?

Events A and B are mutually exclusive if their joint probability is

A method of assigning probabilities based on historical data is called the

If two events are independent, then

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪\cup∪ B) =

Assume your favorite soccwr team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A ∪\cup∪ B) =

Initial estimates of the probabilities of events are known as

If P(A) = 0.50, P(B) = 0.40, then, and P(A ∪\cup∪ B) = 0.88, then P(B | A) =

If P(A) = 0.58, P(B) = 0.44, and P(A ∩\cap∩ B) = 0.25, then P(A ∪\cup∪ B) =

If P(A) = 0.5 and P(B) = 0.5, then P(A ∩\cap∩ B)

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

If P(A) = 0.45, P(B) = 0.55, and P(A $\cup$ B) = 0.78, then P(A | B) =

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A $\cup$ B) =

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A $\cup$ B) =

If P(A) = 0.50, P(B) = 0.40, then, and P(A $\cup$ B) = 0.88, then P(B | A) =

If P(A) = 0.58, P(B) = 0.44, and P(A $\cap$ B) = 0.25, then P(A $\cup$ B) =

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B)