Question 1

Which of the following is not a proper sample space when all undergraduates at a university are considered?​

Accepted Answer

A)  ​S = {in-state, out-of-state} 
B)  ​S = {freshmen, sophomores} 
C)  ​S = {age under 21, age 21 or over} 
D)  ​S = {a business major, not a business major} 
A)  ​S = {in-state, out-of-state} 
B)  ​S = {freshmen, sophomores} 
C)  ​S = {age under 21, age 21 or over} 
D)  ​S = {a business major, not a business major}

Question 2

If a coin is tossed three times, the likelihood of obtaining three heads in a row is

Accepted Answer

A)  0.0. 
B)  0.500. 
C)  0.875. 
D)  0.125. 
A)  0.0. 
B)  0.500. 
C)  0.875. 
D)  0.125.

Question 3

The multiplication law is potentially helpful when we are interested in computing the probability of

Accepted Answer

A)  mutually exclusive events. 
B)  the intersection of two events. 
C)  the union of two events. 
D)  conditional events. 
A)  mutually exclusive events. 
B)  the intersection of two events. 
C)  the union of two events. 
D)  conditional events.

Question 4

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

Accepted Answer

A)  0.07. 
B)  0.62. 
C)  0.55. 
D)  0.48. 
A)  0.07. 
B)  0.62. 
C)  0.55. 
D)  0.48.

Question 5

The collection of all possible sample points in an experiment is

Accepted Answer

A)  the sample space. 
B)  an event. 
C)  a combination. 
D)  the population. 
A)  the sample space. 
B)  an event. 
C)  a combination. 
D)  the population.

Question 6

Initial estimates of the probabilities of events are known as

Accepted Answer

A)  subjective probabilities. 
B)  posterior probabilities. 
C)  conditional probabilities. 
D)  prior probabilities. 
A)  subjective probabilities. 
B)  posterior probabilities. 
C)  conditional probabilities. 
D)  prior probabilities.

Question 7

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Accepted Answer

A)  0. 
B)  1/16. 
C)  1/2. 
D)  larger than the probability of tails. 
A)  0. 
B)  1/16. 
C)  1/2. 
D)  larger than the probability of tails.

Question 8

Two events with nonzero probabilities

Accepted Answer

A)  can be both mutually exclusive and independent. 
B)  can not be both mutually exclusive and independent. 
C)  are always mutually exclusive. 
D)  are always independent. 
A)  can be both mutually exclusive and independent. 
B)  can not be both mutually exclusive and independent. 
C)  are always mutually exclusive. 
D)  are always independent.

Question 9

If P(A) = 0.75, P(A * B) = 0.86, and P(A )B) = 0.56, then P(B) =

Accepted Answer

A)  0.25. 
B)  0.67. 
C)  0.56. 
D)  0.11. 
A)  0.25. 
B)  0.67. 
C)  0.56. 
D)  0.11.

Question 10

Any process that generates well-defined outcomes is

Accepted Answer

A)  an event. 
B)  an experiment. 
C)  a sample point. 
D)  a sample space. 
A)  an event. 
B)  an experiment. 
C)  a sample point. 
D)  a sample space.

Question 11

The symbol ∪ shows the

Accepted Answer

A)  union of events. 
B)  intersection of two events. 
C)  sum of the probabilities of events. 
D)  sample space. 
A)  union of events. 
B)  intersection of two events. 
C)  sum of the probabilities of events. 
D)  sample space.

Question 12

The sum of the probabilities of two complementary events is

Accepted Answer

A)  0. 
B)  0.5. 
C)  0.57. 
D)  1.0. 
A)  0. 
B)  0.5. 
C)  0.57. 
D)  1.0.

Question 13

The probability of at least one head in two flips of a coin is​

Accepted Answer

A)  ​0.25. 
B)  ​0.33. 
C)  ​0.50. 
D)  ​0.75. 
A)  ​0.25. 
B)  ​0.33. 
C)  ​0.50. 
D)  ​0.75.

Which of the following is not a proper sample space when all undergraduates at a university are considered?

If a coin is tossed three times, the likelihood of obtaining three heads in a row is

The multiplication law is potentially helpful when we are interested in computing the probability of

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

The collection of all possible sample points in an experiment is

Initial estimates of the probabilities of events are known as

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Two events with nonzero probabilities

If P(A) = 0.75, P(A * B) = 0.86, and P(A )B) = 0.56, then P(B) =

Any process that generates well-defined outcomes is

The symbol ∪ shows the

The sum of the probabilities of two complementary events is

The probability of at least one head in two flips of a coin is

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

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

Filters

Exam 4: Introduction to Probability

Which of the following is not a proper sample space when all undergraduates at a university are considered?​

If a coin is tossed three times, the likelihood of obtaining three heads in a row is

The multiplication law is potentially helpful when we are interested in computing the probability of

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

The collection of all possible sample points in an experiment is

Initial estimates of the probabilities of events are known as

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Two events with nonzero probabilities

If P(A) = 0.75, P(A * B) = 0.86, and P(A )B) = 0.56, then P(B) =

Any process that generates well-defined outcomes is

The symbol ∪ shows the

The sum of the probabilities of two complementary events is

The probability of at least one head in two flips of a coin is​

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

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

Filters

Which of the following is not a proper sample space when all undergraduates at a university are considered?

The probability of at least one head in two flips of a coin is