Question 1

Revised probabilities of events based on additional information are _____ probabilities.

Accepted Answer

A)  joint 
B)  posterior 
C)  independent 
D)  complementary 
A)  joint 
B)  posterior 
C)  independent 
D)  complementary

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

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 4

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 5

If A and B are mutually exclusive, then​

Accepted Answer

A)  ​P(
A)  + P(
B)  = 0. 
B)  ​P(
A)  + P(
B)  = 1. 
C)  ​P(A ∩ 
B)  = 0. 
D)  ​P(A ∩ 
B)  = 1. 
A)  ​P(
A)  + P(
B)  = 0. 
B)  ​P(
A)  + P(
B)  = 1. 
C)  ​P(A ∩ 
B)  = 0. 
D)  ​P(A ∩ 
B)  = 1.

Question 6

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the rule for

Accepted Answer

A)  permutations. 
B)  combinations. 
C)  independent events. 
D)  multiple-step experiments. 
A)  permutations. 
B)  combinations. 
C)  independent events. 
D)  multiple-step experiments.

Question 7

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 8

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 9

An experiment consists of four outcomes with P(E1) = 0.2, P(E2) = 0.25, and P(E3) = 0.05. The probability of outcome E4 is

Accepted Answer

A)  0.500. 
B)  0.0025. 
C)  0.100. 
D)  0. 
A)  0.500. 
B)  0.0025. 
C)  0.100. 
D)  0.

Question 10

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 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

Four applications for admission to a local university are checked, and it is determined whether each applicant is male or female. The number of sample points in this experiment is

Accepted Answer

A)  2. 
B)  4. 
C)  16. 
D)  8. 
A)  2. 
B)  4. 
C)  16. 
D)  8.

Question 13

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 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.

Revised probabilities of events based on additional information are _____ probabilities.

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

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

The collection of all possible sample points in an experiment is

If A and B are mutually exclusive, then

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the rule for

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

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

An experiment consists of four outcomes with P(E₁) = 0.2, P(E₂) = 0.25, and P(E₃) = 0.05. The probability of outcome E₄ is

Posterior probabilities are computed using

Which of the following statements is always true?

Four applications for admission to a local university are checked, and it is determined whether each applicant is male or female. The number of sample points in this experiment is

The symbol ∪ shows the

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

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Exam 4: Introduction to Probability

Revised probabilities of events based on additional information are _____ probabilities.

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

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

The collection of all possible sample points in an experiment is

If A and B are mutually exclusive, then​

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the rule for

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

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

An experiment consists of four outcomes with P(E1) = 0.2, P(E2) = 0.25, and P(E3) = 0.05. The probability of outcome E4 is

Posterior probabilities are computed using

Which of the following statements is always true?

Four applications for admission to a local university are checked, and it is determined whether each applicant is male or female. The number of sample points in this experiment is

The symbol ∪ shows the

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

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

If A and B are mutually exclusive, then

An experiment consists of four outcomes with P(E₁) = 0.2, P(E₂) = 0.25, and P(E₃) = 0.05. The probability of outcome E₄ is