Question 1

Posterior probabilities are computed using

Accepted Answer

A)  the Multiplication Law. 
B)  Chebyshev's theorem. 
C)  the empirical rule. 
D)  Bayes' theorem. 
A)  the Multiplication Law. 
B)  Chebyshev's theorem. 
C)  the empirical rule. 
D)  Bayes' theorem.

Question 2

The set of all possible outcomes of an experiment is

Accepted Answer

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

Question 3

If P(A) = 0.50, P(B) = 0.40 and P(A ∪ 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 4

Two events are mutually exclusive

Accepted Answer

A)  if their intersection is 1. 
B)  if they have no sample points in common. 
C)  if their intersection is 0.5. 
D)  if most of their sample points are in common. 
A)  if their intersection is 1. 
B)  if they have no sample points in common. 
C)  if their intersection is 0.5. 
D)  if most of their sample points are in common.

Question 5

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 6

Assume your favorite soccer team has 3 games left to finish the season.The outcome of each game can be win, lose, or tie.How many possible outcomes exist?

Accepted Answer

A)  7 
B)  27 
C)  36 
D)  64 
A)  7 
B)  27 
C)  36 
D)  64

Question 7

Initial estimates of the probabilities of events are known as _____ probabilities.

Accepted Answer

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

Question 8

A lottery is conducted using four urns.Each urn contains chips numbered from 0 to 9.One chip is selected at random from each urn.The total number of sample points in the sample space is

Accepted Answer

A)  40. 
B)  6,561. 
C)  1,048,576. 
D)  10,000. 
A)  40. 
B)  6,561. 
C)  1,048,576. 
D)  10,000.

Question 9

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is all

Accepted Answer

A)  new customers. 
B)  accounts fewer than 31 or more than 60 days past due. 
C)  accounts from new customers and all accounts that are from 31 to 60 days past due. 
D)  new customers whose accounts are between 31 and 60 days past due. 
A)  new customers. 
B)  accounts fewer than 31 or more than 60 days past due. 
C)  accounts from new customers and all accounts that are from 31 to 60 days past due. 
D)  new customers whose accounts are between 31 and 60 days past due.

Question 10

Of six letters (A, B, C, D, E, and F), two letters are to be selected at random.How many outcomes are possible?

Accepted Answer

A)  30 
B)  11 
C)  6! 
D)  15 
A)  30 
B)  11 
C)  6! 
D)  15

Question 11

Which of the following statements is always true?

Accepted Answer

A)  -1   P(Ei)   1 
B)  P(
A)  = 1 - P(Ac) 
C)  P(
A)  + P(
B)  = 1 
D)  ∑P   1 
A)  -1   P(Ei)   1 
B)  P(
A)  = 1 - P(Ac) 
C)  P(
A)  + P(
B)  = 1 
D)  ∑P   1

Question 12

​A list of all possible outcomes of an experiment is called the

Accepted Answer

A)  ​sample space. 
B)  ​sample point. 
C)  ​event. 
D)  ​likelihood set. 
A)  ​sample space. 
B)  ​sample point. 
C)  ​event. 
D)  ​likelihood set.

Question 13

A method of assigning probabilities based upon judgment is referred to as the _____ method.

Accepted Answer

A)  relative 
B)  probability 
C)  classical 
D)  subjective 
A)  relative 
B)  probability 
C)  classical 
D)  subjective

Question 14

If P(A) = 0.38, P(B) = 0.83, and P(A ) B) = 0.24; then P(A * B) =

Accepted Answer

A)  1.21. 
B)  .97. 
C)  .76. 
D)  1.45. 
A)  1.21. 
B)  .97. 
C)  .76. 
D)  1.45.

Question 15

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.

Question 16

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 17

A graphical method of representing the sample points of an experiment is a

Accepted Answer

A)  stacked bar chart. 
B)  dot plot. 
C)  stem-and-leaf display. 
D)  tree diagram. 
A)  stacked bar chart. 
B)  dot plot. 
C)  stem-and-leaf display. 
D)  tree diagram.

Question 18

Assume your favorite soccer team has 4 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)  4. 
B)  12. 
C)  64. 
D)  81. 
A)  4. 
B)  12. 
C)  64. 
D)  81.

Question 19

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

Accepted Answer

A)  independent events 
B)  the intersection of two events 
C)  the union of two events 
D)  conditional events 
A)  independent events 
B)  the intersection of two events 
C)  the union of two events 
D)  conditional events

Question 20

A perfectly balanced coin is tossed 6 times, and tails appears on all six tosses.Then, on the seventh trial

Accepted Answer

A)  tail can not appear. 
B)  head has a larger chance of appearing than tail. 
C)  tail has a better chance of appearing than head. 
D)  tail has same chance of appearing as the head. 
A)  tail can not appear. 
B)  head has a larger chance of appearing than tail. 
C)  tail has a better chance of appearing than head. 
D)  tail has same chance of appearing as the head.

Posterior probabilities are computed using

The set of all possible outcomes of an experiment is

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

Two events are mutually exclusive

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

Assume your favorite soccer team has 3 games left to finish the season.The outcome of each game can be win, lose, or tie.How many possible outcomes exist?

Initial estimates of the probabilities of events are known as _____ probabilities.

A lottery is conducted using four urns.Each urn contains chips numbered from 0 to 9.One chip is selected at random from each urn.The total number of sample points in the sample space is

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is all

Of six letters (A, B, C, D, E, and F), two letters are to be selected at random.How many outcomes are possible?

Which of the following statements is always true?

A list of all possible outcomes of an experiment is called the

A method of assigning probabilities based upon judgment is referred to as the _____ method.

If P(A) = 0.38, P(B) = 0.83, and P(A ) B) = 0.24; then P(A * B) =

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

Two events with nonzero probabilities

A graphical method of representing the sample points of an experiment is a

Assume your favorite soccer team has 4 games left to finish the season.The outcome of each game can be win, lose or tie.The number of possible outcomes is

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

A perfectly balanced coin is tossed 6 times, and tails appears on all six tosses.Then, on the seventh trial

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, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

Exam 4: Introduction to Probability

Posterior probabilities are computed using

The set of all possible outcomes of an experiment is

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

Two events are mutually exclusive

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

Assume your favorite soccer team has 3 games left to finish the season.The outcome of each game can be win, lose, or tie.How many possible outcomes exist?

Initial estimates of the probabilities of events are known as _____ probabilities.

A lottery is conducted using four urns.Each urn contains chips numbered from 0 to 9.One chip is selected at random from each urn.The total number of sample points in the sample space is

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is all

Of six letters (A, B, C, D, E, and F), two letters are to be selected at random.How many outcomes are possible?

Which of the following statements is always true?

​A list of all possible outcomes of an experiment is called the

A method of assigning probabilities based upon judgment is referred to as the _____ method.

If P(A) = 0.38, P(B) = 0.83, and P(A ) B) = 0.24; then P(A * B) =

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

Two events with nonzero probabilities

A graphical method of representing the sample points of an experiment is a

Assume your favorite soccer team has 4 games left to finish the season.The outcome of each game can be win, lose or tie.The number of possible outcomes is

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

A perfectly balanced coin is tossed 6 times, and tails appears on all six tosses.Then, on the seventh trial

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, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

A list of all possible outcomes of an experiment is called the

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