Question 1

Let   ,and   .Compute   .

Accepted Answer

A) 0.33 
B) 0.45 
C) 0.5 
D) 0.67 
A) 0.33 
B) 0.45 
C) 0.5 
D) 0.67

Question 2

A group of students has 12 girls and 10 boys.A project team,including 3 girls and 2 boys,must be created.Find the number of possible project teams.

Accepted Answer

The answer of A group of students has 12 girls...

Question 3

Given an experiment in which a fair coin is tossed three times,the sample space is S = {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}.Event A is defined as tossing one head (H).What is the event AC and what is the probability of this event?

Accepted Answer

A) AC = {TTT,HHH,HTH};P(A
C) = 0.375 
B) AC = {TTT,THH,HHH,HHT};P(A
C) = 0.500 
C) AC = {TTT,HHH,HHT,HTH,HTT};P(A
C) = 0.625 
D) AC = {TTT,HHT,HTH,THH,HHH};P(A
C) = 0.625 
A) AC = {TTT,HHH,HTH};P(A
C) = 0.375 
B) AC = {TTT,THH,HHH,HHT};P(A
C) = 0.500 
C) AC = {TTT,HHH,HHT,HTH,HTT};P(A
C) = 0.625 
D) AC = {TTT,HHT,HTH,THH,HHH};P(A
C) = 0.625

Question 4

Let   ,and   .Compute   .

Accepted Answer

A) 0.20 
B) 0.50 
C) 0.65 
D) 0.70 
A) 0.20 
B) 0.50 
C) 0.65 
D) 0.70

Question 5

The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35,and those 35 years of age or older.Find the probability that an individual prefers biking given that he/she is 35 years old or older.

Accepted Answer

A) 0.1698 
B) 0.1824 
C) 0.8175 
D) 0.8302 
A) 0.1698 
B) 0.1824 
C) 0.8175 
D) 0.8302

Question 6

Let   ,and   .Calculate   .

Accepted Answer

A) 0.2 
B) 0.3 
C) 0.9 
D) Not enough information to calculate. 
A) 0.2 
B) 0.3 
C) 0.9 
D) Not enough information to calculate.

Question 7

Events are collectively exhaustive if _____________.

Accepted Answer

A) They include all events 
B) They are included in all events 
C) They contain all outcomes of an experiment 
D) They do not share any common outcomes of an experiment 
A) They include all events 
B) They are included in all events 
C) They contain all outcomes of an experiment 
D) They do not share any common outcomes of an experiment

Let ,and .Compute .

A group of students has 12 girls and 10 boys.A project team,including 3 girls and 2 boys,must be created.Find the number of possible project teams.

Given an experiment in which a fair coin is tossed three times,the sample space is S = {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}.Event A is defined as tossing one head (H).What is the event A^C and what is the probability of this event?

Let ,and .Compute .

The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35,and those 35 years of age or older.Find the probability that an individual prefers biking given that he/she is 35 years old or older.

Let ,and .Calculate .

Events are collectively exhaustive if _____________.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Analysis of Variance

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

Exam 4: Basic Probability Concepts

Let ,and .Compute .

A group of students has 12 girls and 10 boys.A project team,including 3 girls and 2 boys,must be created.Find the number of possible project teams.

Given an experiment in which a fair coin is tossed three times,the sample space is S = {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}.Event A is defined as tossing one head (H).What is the event AC and what is the probability of this event?

Let ,and .Compute .

The contingency table below provides frequencies for the preferred type of exercise for people under the age of 35,and those 35 years of age or older.Find the probability that an individual prefers biking given that he/she is 35 years old or older.

Let ,and .Calculate .

Events are collectively exhaustive if _____________.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Analysis of Variance

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

Given an experiment in which a fair coin is tossed three times,the sample space is S = {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}.Event A is defined as tossing one head (H).What is the event A^C and what is the probability of this event?