Question 1

There are 15 candidates for three different executive positions. How many different ways
could you fill the positions?

Accepted Answer

The answer of There are 15 candidates for three different...

Question 2

Find the numerical value.
-$$\left( \begin{array} { l } 
70 \
68
\end{array} \right)$$

Accepted Answer

A)  483 
B)  164,220 
C)  32,844 
D)  2415 
A)  483 
B)  164,220 
C)  32,844 
D)  2415

Question 3

In a sample of 750 of its online customers, a department store found that 420 were men.
Use this information to estimate the probability that a randomly selected online customer
is not a man.

Accepted Answer

The answer of In a sample of 750 of its...

Question 4

Find the numerical value.
-There are 10 players in a tennis tournament and five courts available for the first round. If players are randomly assigned to courts, what is the probability that the two most favored players are
Both assigned to the same court?

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 113,400 }$ 
C)  $\frac { 1 } { 22,680 }$ 
D)  $\frac { 1 } { 1024 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 113,400 }$ 
C)  $\frac { 1 } { 22,680 }$ 
D)  $\frac { 1 } { 1024 }$

Question 5

Suppose that an experiment has eight equally likely outcomes. What probability is
assigned to each of the sample points?

Accepted Answer

The answer of Suppose that an experiment has eight equally...

Question 6

Find the numerical value.
-A panel of coaches ranks the high school football teams in a particular state each week. The panel unanimously agrees on which five teams should comprise the top five but not on the order.
Hillside High is among the top five. If the ranking of the top five is random, what is that
Probability that Hillside High will be ranked either first or second?

Accepted Answer

A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 2 } { 15 }$ 
C)  $\frac { 1 } { 60 }$ 
D)  $\frac { 1 } { 16 }$ 
A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 2 } { 15 }$ 
C)  $\frac { 1 } { 60 }$ 
D)  $\frac { 1 } { 16 }$

Question 7

The manager of a warehouse club estimates that 7 out of 10 customers will donate a dollar
to help a childrenʹs hospital during an annual drive to benefit the hospital. Using the
managerʹs estimate, what is the probability that a randomly selected customer will donate
a dollar?

Accepted Answer

P(donates

Question 8

$$\left( \begin{array} { l } 
3 \
2
\end{array} \right)$$

Accepted Answer

A) 3 
B) 6 
C) 2 
D) 1 
A) 3 
B) 6 
C) 2 
D) 1

Question 9

A company evaluates its potential new employees using three criteria.
A: The applicant has a minimum college GPA of 3.0.
B: The applicant has relevant work experience.
C: The applicant has a sufficient score on an aptitude test.
a. Write the event that an applicant meets all three criteria as a union or intersection of
A, B, and C.
b. Write the event that an applicant meets at least one of the three criteria as a union or
intersection of A, B, and C.

Accepted Answer

The answer of A company evaluates its potential new employees...

Question 10

A sample of 350 students was selected and each was asked the make of their automobile (foreign or domestic)and their year in college (freshman, sophomore, junior, or senior). The results are
Shown in the table below.

Find the probability that a randomly selected student is both a sophomore and drives a foreign automobile.

Accepted Answer

A)  $45 / 350$ 
B)  $65 / 350$ 
C)  $65 / 205$ 
D)  $65 / 110$ 
A)  $45 / 350$ 
B)  $65 / 350$ 
C)  $65 / 205$ 
D)  $65 / 110$

Question 11

n = 2, N = 10

Accepted Answer

A) 45 
B) 19 
C) 8 
D) 90 
A) 45 
B) 19 
C) 8 
D) 90

Question 12

A bag of colored candies contains 20 red, 25 yellow, and 35 orange candies. An experiment consists of randomly choosing one candy from the bag and recording its color. What is the sample space for
This experiment?

Accepted Answer

A)  {20,25,35} 
B)  {80} 
C)  $\{ 1 / 4,5 / 16,7 / 16 \}$ 
D)  $\{ \text { red, yellow, orange\} }$ 
A)  {20,25,35} 
B)  {80} 
C)  $\{ 1 / 4,5 / 16,7 / 16 \}$ 
D)  $\{ \text { red, yellow, orange\} }$

Question 13

Suppose that for a certain experiment $P ( A ) = .47$ and $P ( B ) = .25$ and $P ( A \cap B ) = .14$. Find $P ( A \cup B )$.

Accepted Answer

A)  $.36$ 
B)  $.86$ 
C)  $.72$ 
D)  $.58$ 
A)  $.36$ 
B)  $.86$ 
C)  $.72$ 
D)  $.58$

Question 14

An economy pack of highlighters contains 12 yellow, 6 blue, 4 green, and 3 orange
highlighters. An experiment consists of randomly selecting one of the highlighters. Find
the probability that a blue highlighter is chosen.

Accepted Answer

The answer of An economy pack of highlighters contains 12...

Question 15

Suppose two dice, one blue and one red, are rolled and the outcomes of each are recorded. We define the following two events:
A: sum of the roll is 7
B. the result of the blue die is a number greater than 4
Are the two events, A and B, independent events?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 16

A medium-sized company characterized their employees based on the sex of the employee and their length of service to the company. The results are summarized in the table below.  
What proportion of the employees are female or have been employed for more than 10 years?

Accepted Answer

A)  $85 / 130$ 
B)  $25 / 130$ 
C)  $25 / 65$ 
D)  $110 / 130$ 
A)  $85 / 130$ 
B)  $25 / 130$ 
C)  $25 / 65$ 
D)  $110 / 130$

Question 17

The data show the total number of medals (gold, silver, and bronze)won by each country
winning at least one gold medal in the Winter Olympics. Suppose that one of the countries
represented is chosen at random and the total numbers of medals won by that country is
noted. $$\begin{array} { l l l l l l l l l } 
1 & 2 & 3 & 3 & 4 & 9 & 9 & 11 & 11 \
11 & 14 & 14 & 19 & 22 & 23 & 24 & 25 & 29
\end{array}$$ a. List the sample points for this experiment.
b. Find the probability of each sample point.
c. What is the probability that the country won at least 20 total medals?

Accepted Answer

a. @#LAT-DLM&
b. @#LAT-DLM&,
\[\begin{array} { l } 
P ( 14 )

Question 18

A bag of candy was opened and the number of pieces was counted. The results are shown in the table below: $$\begin{array} { l | c } 
\text { Color } & \text { Number } \
\hline \text { Red } & 25 \
\text { Brown } & 20 \
\text { Green } & 20 \
\text { Blue } & 15 \
\text { Yellow } & 10 \
\text { Orange } & 10
\end{array}$$ Find the probability that a randomly chosen piece of candy is not blue or red.

Accepted Answer

A) 0.60 
B) 0.40 
C) 0.15 
D) 0.85 
A) 0.60 
B) 0.40 
C) 0.15 
D) 0.85

Question 19

The table shows the political affiliations and types of job for workers in a particular state.
Suppose a worker is selected at random within the state and the workerʹs political
affiliation and type of job are noted.   Given that a worker is a blue collar worker, what is the probability that the worker is a
Democrat?

Accepted Answer

Let blue = event that the work

Question 20

You toss one coin and one die. What is the probability that you get heads and a number
greater than 2?

Accepted Answer

Sample space has @#LAT-DLM& sample point

There are 15 candidates for three different executive positions. How many different ways could you fill the positions?

Find the numerical value. - $\left( \begin{array} { l } 70 \\68\end{array} \right)$

In a sample of 750 of its online customers, a department store found that 420 were men. Use this information to estimate the probability that a randomly selected online customer is not a man.

Find the numerical value. -There are 10 players in a tennis tournament and five courts available for the first round. If players are randomly assigned to courts, what is the probability that the two most favored players are Both assigned to the same court?

Suppose that an experiment has eight equally likely outcomes. What probability is assigned to each of the sample points?

The manager of a warehouse club estimates that 7 out of 10 customers will donate a dollar to help a childrenʹs hospital during an annual drive to benefit the hospital. Using the managerʹs estimate, what is the probability that a randomly selected customer will donate a dollar?

$\left( \begin{array} { l } 3 \\2\end{array} \right)$

n = 2, N = 10

A bag of colored candies contains 20 red, 25 yellow, and 35 orange candies. An experiment consists of randomly choosing one candy from the bag and recording its color. What is the sample space for This experiment?

Suppose that for a certain experiment $P ( A ) = .47$ and $P ( B ) = .25$ and $P ( A \cap B ) = .14$ . Find $P ( A \cup B )$ .

An economy pack of highlighters contains 12 yellow, 6 blue, 4 green, and 3 orange highlighters. An experiment consists of randomly selecting one of the highlighters. Find the probability that a blue highlighter is chosen.

Suppose two dice, one blue and one red, are rolled and the outcomes of each are recorded. We define the following two events: A: sum of the roll is 7 B. the result of the blue die is a number greater than 4 Are the two events, A and B, independent events?

A medium-sized company characterized their employees based on the sex of the employee and their length of service to the company. The results are summarized in the table below. What proportion of the employees are female or have been employed for more than 10 years?

A bag of candy was opened and the number of pieces was counted. The results are shown in the table below: Color Number Red 25 Brown 20 Green 20 Blue 15 Yellow 10 Orange 10 Find the probability that a randomly chosen piece of candy is not blue or red.

You toss one coin and one die. What is the probability that you get heads and a number greater than 2?

Statistics, Data, and Statistical Thinking

Methods for Describing Sets of Data

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Inferences Based on a Single Sample: Estimation With Confidence Intervals

Inferences Based on a Single

Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses

Analysis of Variance: Comparing More Than Two Means

Simple Linear Regression

Multiple Regression and Model Building

Categorical Data Analysis

Nonparametric Statistics Available Online

Filters

Exam 3: Probability

There are 15 candidates for three different executive positions. How many different ways could you fill the positions?

Find the numerical value. - (7068)\left( \begin{array} { l } 70 \\68\end{array} \right)(7068​)

In a sample of 750 of its online customers, a department store found that 420 were men. Use this information to estimate the probability that a randomly selected online customer is not a man.

Find the numerical value. -There are 10 players in a tennis tournament and five courts available for the first round. If players are randomly assigned to courts, what is the probability that the two most favored players are Both assigned to the same court?

Suppose that an experiment has eight equally likely outcomes. What probability is assigned to each of the sample points?

The manager of a warehouse club estimates that 7 out of 10 customers will donate a dollar to help a childrenʹs hospital during an annual drive to benefit the hospital. Using the managerʹs estimate, what is the probability that a randomly selected customer will donate a dollar?

(32)\left( \begin{array} { l } 3 \\2\end{array} \right)(32​)

n = 2, N = 10

A bag of colored candies contains 20 red, 25 yellow, and 35 orange candies. An experiment consists of randomly choosing one candy from the bag and recording its color. What is the sample space for This experiment?

Suppose that for a certain experiment P(A)=.47P ( A ) = .47P(A)=.47 and P(B)=.25P ( B ) = .25P(B)=.25 and P(A∩B)=.14P ( A \cap B ) = .14P(A∩B)=.14 . Find P(A∪B)P ( A \cup B )P(A∪B) .

An economy pack of highlighters contains 12 yellow, 6 blue, 4 green, and 3 orange highlighters. An experiment consists of randomly selecting one of the highlighters. Find the probability that a blue highlighter is chosen.

Suppose two dice, one blue and one red, are rolled and the outcomes of each are recorded. We define the following two events: A: sum of the roll is 7 B. the result of the blue die is a number greater than 4 Are the two events, A and B, independent events?

A medium-sized company characterized their employees based on the sex of the employee and their length of service to the company. The results are summarized in the table below. What proportion of the employees are female or have been employed for more than 10 years?

A bag of candy was opened and the number of pieces was counted. The results are shown in the table below: Color Number Red 25 Brown 20 Green 20 Blue 15 Yellow 10 Orange 10 Find the probability that a randomly chosen piece of candy is not blue or red.

You toss one coin and one die. What is the probability that you get heads and a number greater than 2?

Statistics, Data, and Statistical Thinking

Methods for Describing Sets of Data

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Inferences Based on a Single Sample: Estimation With Confidence Intervals

Inferences Based on a Single

Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses

Analysis of Variance: Comparing More Than Two Means

Simple Linear Regression

Multiple Regression and Model Building

Categorical Data Analysis

Nonparametric Statistics Available Online

Filters

Find the numerical value. - $\left( \begin{array} { l } 70 \\68\end{array} \right)$

$\left( \begin{array} { l } 3 \\2\end{array} \right)$

Suppose that for a certain experiment $P ( A ) = .47$ and $P ( B ) = .25$ and $P ( A \cap B ) = .14$ . Find $P ( A \cup B )$ .