Question 1

In some experiments, we assign subjective probabilities, which can be interpreted as our degree of
belief in the outcome.

Accepted Answer

A) True 
 B)False

Question 2

A statistical experiment can be almost any act of observation as long as the outcome is uncertain.

Accepted Answer

A) True 
 B)False

Question 3

A college has 85 male and 75 female fulltime faculty members. Suppose one fulltime
faculty member is selected at random and the faculty memberʹs gender is observed.
a. List the sample points for this experiment.
b. Assign probabilities to the sample points.

Accepted Answer

The answer of A college has 85 male and 75...

Question 4

Suppose that an experiment has five sample points, $E _ { 1 } , E _ { 2 } , E _ { 3 } , E _ { 4 } , E _ { 5 }$, and that $P \left( E _ { 1 } \right) = .2$, $P \left( E _ { 2 } \right) = .3 , P \left( E _ { 3 } \right) = .1 , P \left( E _ { 4 } \right) = .1$, and $P \left( E _ { 5 } \right) = .3$. If event $A$ is defined as $A = \left\{ E _ { 1 } , E _ { 2 } , E _ { 3 } \right\}$, find $P \left( A ^ { C } \right)$.

Accepted Answer

The answer of Suppose that an experiment has five sample...

Question 5

Evaluate $\left( \begin{array} { l } 
8 \
2
\end{array} \right) .$

Accepted Answer

A)  4 
B)  28 
C)  56 
D)  16 
A)  4 
B)  28 
C)  56 
D)  16

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.
Riverside High and Hillside High are among the top five. If the ranking of the top five is random,
What is that probability that Riverside High and Hillside High will be the top two?

Accepted Answer

A)  $\frac { 1 } { 20 }$ 
B)  $\frac { 1 } { 120 }$ 
C)  $\frac { 1 } { 60 }$ 
D)  $\frac { 1 } { 10 }$ 
A)  $\frac { 1 } { 20 }$ 
B)  $\frac { 1 } { 120 }$ 
C)  $\frac { 1 } { 60 }$ 
D)  $\frac { 1 } { 10 }$

Question 7

Compute $$e \left( \begin{array} { l } 
5 \
1
\end{array} \right)$$

Accepted Answer

\[\left( \begin{array} { l }

Question 8

Compute the number of ways you can select n elements from N elements for n = 6 and N =
15.

Accepted Answer

\[\left( \begin{array} { c }

Question 9

Find the numerical value.
-$\left( \begin{array} { l } 20 \ 20 \end{array} \right)$

Accepted Answer

A)  0 
B)  1 
C)  19 
D)  20 
A)  0 
B)  1 
C)  19 
D)  20

Question 10

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.
D: The applicant has a sufficient score on an aptitude test. $$\text { Describe an applicant represented by } A \cap B ^ { C } \cap D \text {. }$$

Accepted Answer

The applicant has a minimum co

Question 11

Fill in the blank. The __________ of an event A is the event that A does not occur.

Accepted Answer

A) union 
B) intersection 
C) Venn diagram 
D) complement 
A) union 
B) intersection 
C) Venn diagram 
D) complement

Question 12

A number between 1 and 10, inclusive, is randomly chosen. Events A and B are defined as follows. A: {The number is even}
B: {The number is less than 7}
Identify the sample points in the event A ∩ B.

Accepted Answer

A) {1, 2, 3, 4, 5, 6, 8, 10} 
B) {2, 4, 6} 
C) {1, 2, 3, 4, 5, 6, 7, 8, 10} 
D) {1, 2, 3, 4, 5, 6, 7, 9} 
A) {1, 2, 3, 4, 5, 6, 8, 10} 
B) {2, 4, 6} 
C) {1, 2, 3, 4, 5, 6, 7, 8, 10} 
D) {1, 2, 3, 4, 5, 6, 7, 9}

Question 13

Based on past experience, Josh believes that the probability of catching a red snapper is .21
and the probability of catching a grouper is .19. Is enough information available to find the
probability of catching a red snapper or a grouper? Explain. If possible, find the
probability of catching a red snapper or a grouper.

Accepted Answer

Yes, there is enough informati

Question 14

A number between 1 and 10, inclusive, is randomly chosen. Events A, B, C, and D are defined as follows.
A: {The number is even}
B: {The number is less than 7}
C: {The number is less than or equal to 7}
D: {The number is 5}
Identify one pair of independent events.

Accepted Answer

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

Question 15

A human gene carries a certain disease from a mother to her child with a probability rate
of 0.30. That is, there is a 30% chance that the child becomes infected with the disease.
Suppose a female carrier of the gene has four children. Assume that the infections, or lack
thereof, are independent of one another. Find the probability that none of the children get
the disease from their mother.

Accepted Answer

Let D be the event of a single child get

Question 16

A fast-food restaurant chain with 700 outlets in the United States has recorded the
geographic location of its restaurants in the accompanying table of percentages. One
restaurant is to be chosen at random from the 700 to test market a new chicken sandwich.   What is the probability that the restaurant is located in a city with a population over
100,000, given that it is located in the southwestern United States?

Accepted Answer

Let >100,000 = event that the

Question 17

A bag of candy was opened and the number of pieces was counted. The results are shown in the table below: $$\begin{array} { l | c } 
\text { Color } & \text { Number } \
\hline \text { Red } & 25 \
\text { Brown } & 20 \
\text { Green } & 20 \
\text { Blue } & 15 \
\text { Yellow } & 10 \
\text { Orange } & 10
\end{array}$$ List the sample space for this problem.

Accepted Answer

A) {25, 20, 20, 15, 10, 10} 
B) {0.25, 0.20, 0.20, 0.15, 0.10, 0.10} 
C) {Red} 
D) {Red, Brown, Green, Blue, Yellow, Orange} 
A) {25, 20, 20, 15, 10, 10} 
B) {0.25, 0.20, 0.20, 0.15, 0.10, 0.10} 
C) {Red} 
D) {Red, Brown, Green, Blue, Yellow, Orange}

Question 18

Two chips are drawn at random and without replacement from a bag containing two blue chips
and two red chips. Events A and B are defined as follows.
A: {Both chips are red}
B: {At least one of the chips is blue}
True or False: $$A \cap B = B .$$

Accepted Answer

A) True 
 B)False

Question 19

At a community college with 500 students, 120 students are age 30 or older. Find the probability that a randomly selected student is less than 30 years old.

Accepted Answer

A) .12 
B) .30 
C) .24 
D) .76 
A) .12 
B) .30 
C) .24 
D) .76

Question 20

Suppose a basketball player is an excellent free throw shooter and makes 94% of his free throws (i.e., he has a 94% chance of making a single free throw). Assume that free throw shots are
Independent of one another. Find the probability that the player will make three consecutive free
Throws.

Accepted Answer

A) 0.8306 
B) 0.1694 
C) 0.9998 
D) 0.0002 
A) 0.8306 
B) 0.1694 
C) 0.9998 
D) 0.0002

In some experiments, we assign subjective probabilities, which can be interpreted as our degree of belief in the outcome.

A statistical experiment can be almost any act of observation as long as the outcome is uncertain.

A college has 85 male and 75 female fulltime faculty members. Suppose one fulltime faculty member is selected at random and the faculty memberʹs gender is observed. a. List the sample points for this experiment. b. Assign probabilities to the sample points.

Evaluate $\left( \begin{array} { l } 8 \\2\end{array} \right) .$

Compute $e \left( \begin{array} { l } 5 \\1\end{array} \right)$

Compute the number of ways you can select n elements from N elements for n = 6 and N = 15.

Find the numerical value. - $\left( \begin{array} { l } 20 \\ 20 \end{array} \right)$

Fill in the blank. The __________ of an event A is the event that A does not occur.

A number between 1 and 10, inclusive, is randomly chosen. Events A and B are defined as follows. A: {The number is even} B: {The number is less than 7} Identify the sample points in the event A ∩ B.

A number between 1 and 10, inclusive, is randomly chosen. Events A, B, C, and D are defined as follows. A: {The number is even} B: {The number is less than 7} C: {The number is less than or equal to 7} D: {The number is 5} Identify one pair of independent events.

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 List the sample space for this problem.

Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are defined as follows. A: {Both chips are red} B: {At least one of the chips is blue} True or False: $A \cap B = B .$

At a community college with 500 students, 120 students are age 30 or older. Find the probability that a randomly selected student is less than 30 years old.

Suppose a basketball player is an excellent free throw shooter and makes 94% of his free throws (i.e., he has a 94% chance of making a single free throw). Assume that free throw shots are Independent of one another. Find the probability that the player will make three consecutive free Throws.

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

In some experiments, we assign subjective probabilities, which can be interpreted as our degree of belief in the outcome.

A statistical experiment can be almost any act of observation as long as the outcome is uncertain.

A college has 85 male and 75 female fulltime faculty members. Suppose one fulltime faculty member is selected at random and the faculty memberʹs gender is observed. a. List the sample points for this experiment. b. Assign probabilities to the sample points.

Evaluate (82).\left( \begin{array} { l } 8 \\2\end{array} \right) .(82​).

Compute e(51)e \left( \begin{array} { l } 5 \\1\end{array} \right)e(51​)

Compute the number of ways you can select n elements from N elements for n = 6 and N = 15.

Find the numerical value. - (2020)\left( \begin{array} { l } 20 \\ 20 \end{array} \right)(2020​)

Fill in the blank. The __________ of an event A is the event that A does not occur.

A number between 1 and 10, inclusive, is randomly chosen. Events A and B are defined as follows. A: {The number is even} B: {The number is less than 7} Identify the sample points in the event A ∩ B.

A number between 1 and 10, inclusive, is randomly chosen. Events A, B, C, and D are defined as follows. A: {The number is even} B: {The number is less than 7} C: {The number is less than or equal to 7} D: {The number is 5} Identify one pair of independent events.

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 List the sample space for this problem.

Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are defined as follows. A: {Both chips are red} B: {At least one of the chips is blue} True or False: A∩B=B.A \cap B = B .A∩B=B.

At a community college with 500 students, 120 students are age 30 or older. Find the probability that a randomly selected student is less than 30 years old.

Suppose a basketball player is an excellent free throw shooter and makes 94% of his free throws (i.e., he has a 94% chance of making a single free throw). Assume that free throw shots are Independent of one another. Find the probability that the player will make three consecutive free Throws.

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

Evaluate $\left( \begin{array} { l } 8 \\2\end{array} \right) .$

Compute $e \left( \begin{array} { l } 5 \\1\end{array} \right)$

Find the numerical value. - $\left( \begin{array} { l } 20 \\ 20 \end{array} \right)$

Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are defined as follows. A: {Both chips are red} B: {At least one of the chips is blue} True or False: $A \cap B = B .$