Question 1

Draw a Venn diagram and shade the described events.
-From a finite sample, events A, B, and C are non-mutually exclusive. Shade the collection A and B and C.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 2

Suppose that you roll a die and record the number that comes up and then flip a coin and record whether it comes up heads or tails. One possible outcome can be represented as 2H (a two on the die followed by heads). Make a list of all the possible outcomes. What is the probability that you get tails and an even number? What assumption are you making when you find this probability?

Accepted Answer

The possible outcomes are 1H, 2H, 3H, 4H

Question 3

Use Bayes's rule to find the indicated probability.
-A survey conducted in one U.S. city together with information from the census bureau yielded the following table. The first two columns give a percentage distribution of adults in the city by ethnic Group. The third column gives the percentage of people in each ethnic group who have health
Insurance. $$\begin{array} { l c c } 
\text { Ethnic Group } & \begin{array} { l } 
\text { Percentage } \
\text { of adults }
\end{array} & \begin{array} { c } 
\text { Percentage with } \
\text { health insurance }
\end{array} \
\hline \text { Caucasian } & 44.0 & 78 \
\text { African American } & 12.1 & 44 \
\text { Hispanic } & 18.6 & 51 \
\text { Asian } & 12.7 & 66 \
\text { Other } & 187.4 & 46
\end{array}$$ An adult is selected at random from the city. Determine the probability that the adult obtained is
Asian given that he or she has health insurance.

Accepted Answer

A) 0.001 
B) 0.084 
C) 0.66 
D) 0.127 
A) 0.001 
B) 0.084 
C) 0.66 
D) 0.127

Question 4

Use the special multiplication rule to find the indicated probability.
-Find the probability that 3 randomly selected people have the same birthday. Ignore leap years.

Accepted Answer

A) 0.00000751 
B) 0.0082 
C) 0.3333 
D) 0.00000002 
A) 0.00000751 
B) 0.0082 
C) 0.3333 
D) 0.00000002

Question 5

Find the indicated probability by using the special addition rule.
-A relative frequency distribution is given below for the size of families in one U.S. city. 
$\begin{array} { l c } 
\text { Size } & \text { Relative frequency } \
\hline 2 & 0.416 \
3 & 0.217 \
4 & 0.210 \
5 & 0.102 \
6 & 0.040 \
7 + & 0.015
\end{array}$ 
A family is selected at random. Find the probability that the size of the family is between 2 and 5 inclusive. Round approximations to three decimal places.

Accepted Answer

A) 0.843 
B) 0.945 
C) 0.518 
D) 0.427 
A) 0.843 
B) 0.945 
C) 0.518 
D) 0.427

Question 6

Use the general multiplication rule to find the indicated probability.
-You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.

Accepted Answer

A) 0.002 
B) 0.154 
C) 0.127 
D) 0.006 
A) 0.002 
B) 0.154 
C) 0.127 
D) 0.006

Question 7

Find the indicated probability.
-The following contingency table provides a joint frequency distribution for the popular votes cast in the presidential election by region and political party. Data are in thousands, rounded to the Nearest thousand.   A person who voted in the presidential election is selected at random. Compute the probability that The person selected was in the West and voted Republican.

Accepted Answer

A) 0.196 
B) 0.781 
C) 0.115 
D) 0.588 
A) 0.196 
B) 0.781 
C) 0.115 
D) 0.588

Question 8

Use the general multiplication rule to find the indicated probability.
-Among the contestants in a competition are 44 women and 30 men. If 5 winners are randomly selected, what is the probability that they are all men?

Accepted Answer

A) 0.13122 
B) 0.07432 
C) 0.14735 
D) 0.00885 
A) 0.13122 
B) 0.07432 
C) 0.14735 
D) 0.00885

Question 9

Find the conditional probability.
-The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement.   Suppose one of these people is selected at random. Compute the probability that the person's age of
Retirement was between 50 and 55 given that he or she was an attorney.

Accepted Answer

A) 0.081 
B) 0.013 
C) 0.158 
D) 0.046 
A) 0.081 
B) 0.013 
C) 0.158 
D) 0.046

Question 10

Find the indicated probability.
-The Book Industry Study Group, Inc., performs sample surveys to obtain information on characteristics of book readers. A book reader is defined to be one who read one or more books
In the six months prior to the survey; a non-book reader is defined to be one who read Newspapers or magazines but no books in the six months prior to the survey; a nonreader is Defined to be one who did not read a book, newspaper, or magazine in the six months prior to The survey. The following data were obtained from a random sample of people 16 years old and over.   Suppose one of these people is selected at random. Compute the probability that the person is a
Nonreader.

Accepted Answer

A) 0.062 
B) 0.611 
C) 0.111 
D) 0.038 
A) 0.062 
B) 0.611 
C) 0.111 
D) 0.038

Question 11

Find the conditional probability.
-If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the first card was a spade.

Accepted Answer

A) 0.231 
B) 0.235 
C) 0.216 
D) 0.917 
A) 0.231 
B) 0.235 
C) 0.216 
D) 0.917

Question 12

Use words or symbols, as indicated, to describe the event.
-The following contingency table provides a joint frequency distribution for a group of retired people by age at retirement and career.   How many of these people were not attorneys when they retired?

Accepted Answer

A) 44 
B) 690 
C) 535 
D) 165 
A) 44 
B) 690 
C) 535 
D) 165

Question 13

Give an example of a collection of events that are both mutually exclusive and exhaustive

Accepted Answer

A collection of events is said to be mut

Draw a Venn diagram and shade the described events. -From a finite sample, events A, B, and C are non-mutually exclusive. Shade the collection A and B and C.

Use the special multiplication rule to find the indicated probability. -Find the probability that 3 randomly selected people have the same birthday. Ignore leap years.

Use the general multiplication rule to find the indicated probability. -You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.

Use the general multiplication rule to find the indicated probability. -Among the contestants in a competition are 44 women and 30 men. If 5 winners are randomly selected, what is the probability that they are all men?

Find the conditional probability. -If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the first card was a spade.

Use words or symbols, as indicated, to describe the event. -The following contingency table provides a joint frequency distribution for a group of retired people by age at retirement and career. How many of these people were not attorneys when they retired?

Give an example of a collection of events that are both mutually exclusive and exhaustive

The Nature of Statistics

Organizing Data

Descriptive Measures

Discrete Random Variables

The Normal Distribution

The Sampling Distribution of the Sample Mean

Confidence Intervals for One Population Mean

Hypothesis Tests for One Population Mean

Inferences for Two Population Means

Inferences for Population Standard Deviations

Inferences for Population Proportions

Chi-Square Procedures

Descriptive Methods in Regression and Correlation

Inferential Methods in Regression and Correlation

Analysis of Variance Anova

Filters

Exam 4: Probability Concepts

Draw a Venn diagram and shade the described events. -From a finite sample, events A, B, and C are non-mutually exclusive. Shade the collection A and B and C.

Use the special multiplication rule to find the indicated probability. -Find the probability that 3 randomly selected people have the same birthday. Ignore leap years.

Use the general multiplication rule to find the indicated probability. -You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.

Use the general multiplication rule to find the indicated probability. -Among the contestants in a competition are 44 women and 30 men. If 5 winners are randomly selected, what is the probability that they are all men?

Find the conditional probability. -If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the first card was a spade.

Use words or symbols, as indicated, to describe the event. -The following contingency table provides a joint frequency distribution for a group of retired people by age at retirement and career. How many of these people were not attorneys when they retired?

Give an example of a collection of events that are both mutually exclusive and exhaustive

The Nature of Statistics

Organizing Data

Descriptive Measures

Discrete Random Variables

The Normal Distribution

The Sampling Distribution of the Sample Mean

Confidence Intervals for One Population Mean

Hypothesis Tests for One Population Mean

Inferences for Two Population Means

Inferences for Population Standard Deviations

Inferences for Population Proportions

Chi-Square Procedures

Descriptive Methods in Regression and Correlation

Inferential Methods in Regression and Correlation

Analysis of Variance Anova

Filters