Question 1

Suppose P(A) = 0.30, P(B) = 0.40, and P(B /A) = 0.60.
a. Find P(A $\cap$ B).
b. Find P(A $\cup$ B).
c. Find P(A /B).

Accepted Answer

a. 0.18.
b

Question 2

Probability refers to a number between 0 and 1 (inclusive), which expresses the chance that an event will occur.

Accepted Answer

A) True 
 B)False

Question 3

An experiment consists of tossing three unbiased coins simultaneously. Drawing a probability tree for this experiment will show that the number of simple events in this experiment is:

Accepted Answer

A)   $3 .$ 
B)  $6 .$ 
C)  $9 .$ 
D)  None of these choices are correct. 
A)   $3 .$ 
B)  $6 .$ 
C)  $9 .$ 
D)  None of these choices are correct.

Question 4

Two or more events are said to be independent when the occurrence of one event has an effect on the probability that another will occur.

Accepted Answer

A) True 
 B)False

Question 5

When a fair die is rolled once, the sample space consists of the following six outcomes: 1, 2, 3, 4, 5, 6. Given this sample space, which of the following is a simple event?

Accepted Answer

A)  Even number. 
B)  More than 4 . 
C)  Less than 1 . 
D)  $4 .$ 
A)  Even number. 
B)  More than 4 . 
C)  Less than 1 . 
D)  $4 .$

Question 6

If P(A) = 0.60, P(B) = 0.58, and P(A $\cup$ B) = 0.70, then P(A $\cap$\ B) is: $$\begin{array} { | l | l | } 
\hline \text { A. } & 0.60 . \
\hline \text { B. } & 0.70 . \
\hline \text { C. } & 0.48 . \
\hline \text { D. } & 0.58 . \
\hline
\end{array}$$

Accepted Answer

The answer of If P(A) = 0.60, P(B) = 0.58,...

Suppose P(A) = 0.30, P(B) = 0.40, and P(B /A) = 0.60. a. Find P(A $\cap$ B). b. Find P(A $\cup$ B). c. Find P(A /B).

Probability refers to a number between 0 and 1 (inclusive), which expresses the chance that an event will occur.

An experiment consists of tossing three unbiased coins simultaneously. Drawing a probability tree for this experiment will show that the number of simple events in this experiment is:

Two or more events are said to be independent when the occurrence of one event has an effect on the probability that another will occur.

When a fair die is rolled once, the sample space consists of the following six outcomes: 1, 2, 3, 4, 5, 6. Given this sample space, which of the following is a simple event?

If P(A) = 0.60, P(B) = 0.58, and P(A $\cup$ B) = 0.70, then P(A $\cap$ \ B) is: A. 0.60. B. 0.70. C. 0.48. D. 0.58.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

Exam 6: Probability

Suppose P(A) = 0.30, P(B) = 0.40, and P(B /A) = 0.60. a. Find P(A ∩\cap∩ B). b. Find P(A ∪\cup∪ B). c. Find P(A /B).

Probability refers to a number between 0 and 1 (inclusive), which expresses the chance that an event will occur.

An experiment consists of tossing three unbiased coins simultaneously. Drawing a probability tree for this experiment will show that the number of simple events in this experiment is:

Two or more events are said to be independent when the occurrence of one event has an effect on the probability that another will occur.

When a fair die is rolled once, the sample space consists of the following six outcomes: 1, 2, 3, 4, 5, 6. Given this sample space, which of the following is a simple event?

If P(A) = 0.60, P(B) = 0.58, and P(A ∪\cup∪ B) = 0.70, then P(A ∩\cap∩ \ B) is: A. 0.60. B. 0.70. C. 0.48. D. 0.58.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

Suppose P(A) = 0.30, P(B) = 0.40, and P(B /A) = 0.60. a. Find P(A $\cap$ B). b. Find P(A $\cup$ B). c. Find P(A /B).

If P(A) = 0.60, P(B) = 0.58, and P(A $\cup$ B) = 0.70, then P(A $\cap$ \ B) is: A. 0.60. B. 0.70. C. 0.48. D. 0.58.