Question 1

A statistics quiz has 5 multiple choice questions with four answer choices each and 5
true/false questions. How many different ways can a student answer the questions by
guessing?

Accepted Answer

The answer of A statistics quiz has 5 multiple choice...

Question 2

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

Question 3

Three fair coins are tossed and either heads (H)or tails (T)is observed for each coin.
a. List the sample points for this experiment.
b. Assign probabilities to the sample points.
c. Find the probability of the event A = {Three heads are observed}.
d. Find the probability of the event B = {Exactly two heads are observed}.
e. Find the probability of the event C = {At least two heads are observed}.

Accepted Answer

a. @#LAT-DLM&
b. Each sample p

Question 4

A pair of fair dice is tossed. Events A and B are defined as follows.
A: {The sum of the numbers on the dice is 3}
B: {At least one of the dice shows a 2}
True or False: $$A \cup B = B$$

Accepted Answer

A) True 
 B)False

Question 5

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 the same color}
B: {At least one of the chips is blue}
Are A and B independent events? Explain.

Accepted Answer

@#LAT-DLM& and @#LAT-DLM&; Since these p

Question 6

Find the numerical value.
-Find the numerical value of $P _ { 5 } ^ { 5 }$.

Accepted Answer

A)  120 
B)  3125 
C)  1 
D)  25 
A)  120 
B)  3125 
C)  1 
D)  25

Question 7

The overnight shipping business has skyrocketed in the last ten years. The single greatest predictor of a companyʹs success is customer service. A study was conducted to determine the customer
Satisfaction levels for one overnight shipping business. In addition to the customerʹs satisfaction
Level, the customers were asked how often they used overnight shipping. The results are shown
Below in the following table:

Suppose that one customer who participated in the study is chosen at random. What is the probability that the customer did not have a medium level of satisfaction with the company?

Accepted Answer

A)  $\frac { 2 } { 7 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 24 } { 35 }$ 
D)  $\frac { 11 } { 35 }$ 
A)  $\frac { 2 } { 7 }$ 
B)  $\frac { 5 } { 7 }$ 
C)  $\frac { 24 } { 35 }$ 
D)  $\frac { 11 } { 35 }$

Question 8

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 the northern portion of the United States?

Accepted Answer

A) 0.26 
B) 0.31 
C) 0.69 
D) 0.43 
A) 0.26 
B) 0.31 
C) 0.69 
D) 0.43

Question 9

The quantity 0! is defined to be equal to 0.

Accepted Answer

A) True 
 B)False

Question 10

Suppose that $B _ { 1 }$ and $B _ { 2 }$ are mutually exclusive and complementary events, such that $P \left( B _ { 1 } \right) = .6$ and $P \left( B _ { 2 } \right) = .4$. Consider another event $A$ such that $P \left( A \mid B _ { 1 } \right) = .2$ and $P \left( A \mid B _ { 2 } \right) = .5$. Find $P \left( B _ { 1 } \mid A \right)$.

Accepted Answer

A)  $.625$ 
B)  $.375$ 
C)  $.240$ 
D)  $.800$ 
A)  $.625$ 
B)  $.375$ 
C)  $.240$ 
D)  $.800$

Question 11

At a small private college with 800 students, 240 students receive some form of
government-sponsored financial aid. Find the probability that a randomly selected
student does not receive some form of government-sponsored financial aid.

Accepted Answer

@#LAT-DLM& does not receive go

Question 12

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 main court?

Accepted Answer

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

Question 13

The overnight shipping business has skyrocketed in the last ten years. The single greatest predictor of a companyʹs success is customer service. A study was conducted to determine the customer
Satisfaction levels for one overnight shipping business. In addition to the customerʹs satisfaction
Level, the customers were asked how often they used overnight shipping. The results are shown in
The following table: 
$\begin{array} { c | c c c | c } 
& \ { \text { Satisfaction level } } & \
\text { Frequency of Use } & \text { High } & \text { Medium } & \text { Low } & \text { TOTAL } \
\hline  5 \text { per month } & 70 & 25 & 5 & 100 \
\hline \text { TOTAL } & 460 & 220 & 20 & 700
\end{array}$
Suppose that one customer who participated in the study is chosen at random. What is the probability that the customer had a low level of satisfaction and used the company two to five times per month?

Accepted Answer

A)  $\frac { 1 } { 140 }$ 
B)  $\frac { 97 } { 140 }$ 
C)  $\frac { 43 } { 140 }$ 
D)  $\frac { 11 } { 35 }$ 
A)  $\frac { 1 } { 140 }$ 
B)  $\frac { 97 } { 140 }$ 
C)  $\frac { 43 } { 140 }$ 
D)  $\frac { 11 } { 35 }$

Question 14

In the game of Parcheesi each player rolls a pair of dice on each turn. In order to begin the game, you must roll a five on at least one die, or a total of five on both dice. Find the probability that a
Player begins the game on the first roll.

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 11 } { 36 }$ 
C)  $\frac { 15 } { 36 }$ 
D)  $\frac { 5 } { 18 }$ 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 11 } { 36 }$ 
C)  $\frac { 15 } { 36 }$ 
D)  $\frac { 5 } { 18 }$

Question 15

A package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color. Find the
Probability that a yellow or pink notepad is selected given that it is either blue or green.

Accepted Answer

A)  0 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  1 
A)  0 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  1

Question 16

Find the numerical value.
-You toss a coin 4 times. What is the probability of getting exactly one head?

Accepted Answer

A)  $\frac { 1 } { 16 }$ 
B)  $\frac { 15 } { 16 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 3 } { 4 }$ 
A)  $\frac { 1 } { 16 }$ 
B)  $\frac { 15 } { 16 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 3 } { 4 }$

Question 17

n = 2, N = 5

Accepted Answer

A) 10 
B) 6 
C) 20 
D) 3 
A) 10 
B) 6 
C) 20 
D) 3

Question 18

Fill in the blank. The __________ of two events A and B is the event that both A and B occur.

Accepted Answer

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

Question 19

A human gene carries a certain disease from a mother to her child with a probability rate of 0.40. That is, there is a 40% chance that the child becomes infected with the disease. Suppose a female
Carrier of the gene has three children. Assume that the infections, or lack thereof, are independent
Of one another. Find the probability that all three of the children get the disease from their mother.

Accepted Answer

A) 0.216 
B) 0.144 
C) 0.064 
D) 0.936 
A) 0.216 
B) 0.144 
C) 0.064 
D) 0.936

Question 20

Three companies (A, B, and
C)are to be ranked first, second, and third in a list of
companies with the highest customer satisfaction.
a. List all the possible sets of rankings for these top three companies.
b. Assuming that all sets of rankings are equally likely, what is the probability that
Company A will be ranked first, Company B second, and Company C third?
c. Assuming that all sets of rankings are equally likely, what is the probability that
Company B will be ranked first?

Accepted Answer

a. @#LAT-DLM&
b. @#LAT-DLM&
c.

A statistics quiz has 5 multiple choice questions with four answer choices each and 5 true/false questions. How many different ways can a student answer the questions by guessing?

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 pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 3} B: {At least one of the dice shows a 2} True or False: $A \cup B = B$

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 the same color} B: {At least one of the chips is blue} Are A and B independent events? Explain.

Find the numerical value. -Find the numerical value of $P _ { 5 } ^ { 5 }$ .

The quantity 0! is defined to be equal to 0.

At a small private college with 800 students, 240 students receive some form of government-sponsored financial aid. Find the probability that a randomly selected student does not receive some form of government-sponsored financial aid.

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 main court?

In the game of Parcheesi each player rolls a pair of dice on each turn. In order to begin the game, you must roll a five on at least one die, or a total of five on both dice. Find the probability that a Player begins the game on the first roll.

A package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color. Find the Probability that a yellow or pink notepad is selected given that it is either blue or green.

Find the numerical value. -You toss a coin 4 times. What is the probability of getting exactly one head?

n = 2, N = 5

Fill in the blank. The __________ of two events A and B is the event that both A and B occur.

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

A statistics quiz has 5 multiple choice questions with four answer choices each and 5 true/false questions. How many different ways can a student answer the questions by guessing?

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 pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 3} B: {At least one of the dice shows a 2} True or False: A∪B=BA \cup B = BA∪B=B

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 the same color} B: {At least one of the chips is blue} Are A and B independent events? Explain.

Find the numerical value. -Find the numerical value of P55P _ { 5 } ^ { 5 }P55​ .

The quantity 0! is defined to be equal to 0.

At a small private college with 800 students, 240 students receive some form of government-sponsored financial aid. Find the probability that a randomly selected student does not receive some form of government-sponsored financial aid.

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 main court?

In the game of Parcheesi each player rolls a pair of dice on each turn. In order to begin the game, you must roll a five on at least one die, or a total of five on both dice. Find the probability that a Player begins the game on the first roll.

A package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color. Find the Probability that a yellow or pink notepad is selected given that it is either blue or green.

Find the numerical value. -You toss a coin 4 times. What is the probability of getting exactly one head?

n = 2, N = 5

Fill in the blank. The __________ of two events A and B is the event that both A and B occur.

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

A pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 3} B: {At least one of the dice shows a 2} True or False: $A \cup B = B$

Find the numerical value. -Find the numerical value of $P _ { 5 } ^ { 5 }$ .