Question 1

Suppose you have a perfectly fair 10-sided die,with sample space S = {1,2,3,4,5,6,7,8,9,10}.What are the probabilities of each possible outcome?

Accepted Answer

A) All probabilities are equal to 1/2. 
B) P(1)= P(2)= P(3)= P(4)= P(5)= P(6)= P(6)= P(7)= P(8)= P(9)= P(10)= 1/10 
C) P(1)= P(2)= P(3)= P(4)= P(5)= P(6)= P(6)= P(7)= P(8)= P(9)= P(10)= 1/6 
D) None of the above 
A) All probabilities are equal to 1/2. 
B) P(1)= P(2)= P(3)= P(4)= P(5)= P(6)= P(6)= P(7)= P(8)= P(9)= P(10)= 1/10 
C) P(1)= P(2)= P(3)= P(4)= P(5)= P(6)= P(6)= P(7)= P(8)= P(9)= P(10)= 1/6 
D) None of the above

Question 2

The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below.   What is the sample space for the number of federal holidays?

Accepted Answer

A) S = {0,1,2,3,4,5,6,7,8,9,10} 
B) S = {Jan,Feb,May,Jul,Sept,Oct,Nov,Dec} 
C) S = {0} 
D) S = {10} 
A) S = {0,1,2,3,4,5,6,7,8,9,10} 
B) S = {Jan,Feb,May,Jul,Sept,Oct,Nov,Dec} 
C) S = {0} 
D) S = {10}

Question 3

The amount of snow each county in the United States received last year is an example of a _______ random variable.

Accepted Answer

A) discrete 
B) continuous 
C) None of the above 
A) discrete 
B) continuous 
C) None of the above

Question 4

What is the area of the red shaded region? (The figure below is a standard Normal probability distribution. )

Accepted Answer

A) .5 
B) 0 
C) 1 
D) None of the above 
A) .5 
B) 0 
C) 1 
D) None of the above

Question 5

Suppose you have two math classes (math 1 and math 2)and two sciences courses (science 1 and science 2)that you must complete before your sophomore year in college.Assume your college is on a semester system and there are two semesters in each year.Suppose during your freshman year you can only take all math classes or all science classes.What is the event A of classes you take your freshman year?

Accepted Answer

A) A = {math 1,math 2,math 1 and math 2,science 1,science 2,science 1 and science 2} 
B) A = {math 1 and science 1,math 2 and science 2} 
C) A = {0,1,2,3,4} 
D) None of the above 
A) A = {math 1,math 2,math 1 and math 2,science 1,science 2,science 1 and science 2} 
B) A = {math 1 and science 1,math 2 and science 2} 
C) A = {0,1,2,3,4} 
D) None of the above

Question 6

The game of craps starts with a "come-out" roll,in which the shooter rolls a pair of dice.If the total of the "spots" on the up-faces is 2,3,or 12,the shooter loses immediately.What is the proportion of come-out rolls that ends up in an immediate loss for the shooter?

Accepted Answer

A) 1/9 
B) 1/4 
C) 8/9 
D) 1/12 
A) 1/9 
B) 1/4 
C) 8/9 
D) 1/12

Question 7

There is a popular pizza restaurant on campus that many students frequent.One evening,your college sorority goes to the restaurant to celebrate the end of the semester.At the end of the evening,you are not feeling well and several of your sorority sisters do not feel well either.You suspect food poisoning from the restaurant is the culprit.Suppose your roommate is also sick and ate at the same restaurant on the same day as you.Would your roommate being sick be an example of a random phenomenon?

Accepted Answer

A) Yes,because more than one person is sick it must be a random phenomenon. 
B) Yes,because you went to a random restaurant on campus. 
C) No,since your roommate ate at the same restaurant,it is probably not a random phenomenon that she is sick. 
D) No,everyone at the restaurant would have to be sick for it to be a random phenomenon. 
A) Yes,because more than one person is sick it must be a random phenomenon. 
B) Yes,because you went to a random restaurant on campus. 
C) No,since your roommate ate at the same restaurant,it is probably not a random phenomenon that she is sick. 
D) No,everyone at the restaurant would have to be sick for it to be a random phenomenon.

Question 8

Suppose Team A has a 0.75 probability to win their next game and Team B has a 0.85 probability to win their next game.Assume these events are independent.What is the probability that Team A wins and Team B loses?

Accepted Answer

A) 0.90 
B) 0.75 
C) 0.15 
D) 0.1125 
A) 0.90 
B) 0.75 
C) 0.15 
D) 0.1125

Question 9

What is the probability 0 < Z < .5? (The figure below is a standard Normal probability distribution. )

Accepted Answer

A) .691 
B) .5 
C) 0 
D) None of the above 
A) .691 
B) .5 
C) 0 
D) None of the above

Question 10

A standard deck of cards has 52 cards.The cards have one of two colors: 26 cards in the deck are red and 26 are black.The cards have one of four denominations: 13 cards are hearts (red),13 cards are diamonds (red),13 cards are clubs (black),and 13 cards are spades (black).Two cards are selected at random and the denomination is recorded.The event H is defined as the event that the first card is hearts.Which of the following correctly defines event H?

Accepted Answer

A) H = {diamonds,clubs,spades} 
B) H = {hearts,diamonds,clubs,spades} 
C) H = {(hearts,diamonds), (hearts,clubs), (hearts,spades)} 
D) H = {(hearts,diamonds), (hearts,clubs), (hearts,spades), (hearts,hearts)} 
A) H = {diamonds,clubs,spades} 
B) H = {hearts,diamonds,clubs,spades} 
C) H = {(hearts,diamonds), (hearts,clubs), (hearts,spades)} 
D) H = {(hearts,diamonds), (hearts,clubs), (hearts,spades), (hearts,hearts)}

Question 11

A valid probability is any number between -1 and 1.

Accepted Answer

A) True 
 B)False

Question 12

What is the sample space for the number of hours per week the average teenager spends on the Internet?

Accepted Answer

S = {all n

Question 13

In a certain game you have to guess the number that your opponent writes down on a sheet of paper.You get five guesses and no additional information is given after each guess unless it is the correct number.Each guess is considered _______ the last guess.

Accepted Answer

A) independent of 
B) dependent on 
A) independent of 
B) dependent on

Question 14

Ignoring twins and other multiple births,assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5.Define event B = {at least one of the next two babies is a boy}.What is the probability of the complement of event B?

Accepted Answer

A) 0.125 
B) 0.250 
C) 0.375 
D) 0.500 
A) 0.125 
B) 0.250 
C) 0.375 
D) 0.500

Question 15

At the end of a production run manufacturing rubber gaskets,items are sampled at random and inspected to determine if the item is acceptable (A)or defective (D).Suppose it is planned to select two items and determine if each is either A or D.Which set of outcomes describes the event that at least one of the items selected is defective?

Accepted Answer

A) {AA,AD,DD} 
B) {AD,DA,DD} 
C) {DD} 
D) {AA,AD,DA} 
E) {AA,DD} 
A) {AA,AD,DD} 
B) {AD,DA,DD} 
C) {DD} 
D) {AA,AD,DA} 
E) {AA,DD}

Question 16

The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below.   Suppose you work for a private company that does not observe all the federal holidays.What is the sample space for the number of federal holidays that your company might observe?

Accepted Answer

A) S = {0,1,2,3,4,5,6,7,8,9,10} 
B) S = {Jan,Feb,May,Jul,Sept,Oct,Nov,Dec} 
C) S = {0} 
D) S = {10} 
A) S = {0,1,2,3,4,5,6,7,8,9,10} 
B) S = {Jan,Feb,May,Jul,Sept,Oct,Nov,Dec} 
C) S = {0} 
D) S = {10}

Question 17

Suppose you have a perfectly fair 10-sided die,with sample space S = {1,2,3,4,5,6,7,8,9,10}.What is the event H,which is defined as any even-numbered roll?

Accepted Answer

A) H = {1,2,3,4,5} 
B) H = {1,2,3,4,5,6,7,8,9,10} 
C) H = {2,4,6,8,10} 
D) H = {0 or 1} 
A) H = {1,2,3,4,5} 
B) H = {1,2,3,4,5,6,7,8,9,10} 
C) H = {2,4,6,8,10} 
D) H = {0 or 1}

Question 18

To win the Maryland Powerball® Lottery,you must select your own six numbers to play.Most people use numbers that are special to them,like anniversary dates or their children's birth dates.On the day of the lottery,the lottery officials randomly select five white balls,each with a number somewhere between 1 and 59,and one red Powerball® with a number somewhere between 1 and 35.You win a prize by matching some or all of the numbers drawn.Would winning the lottery be an example of a random phenomenon?

Accepted Answer

A) Yes,because the numbers drawn are random 
B) Yes,because you are selecting your own six numbers to play 
C) No,because the numbers you select to play are not random if you choose your anniversary date or your children's birth dates 
D) No,because the numbers drawn are random 
A) Yes,because the numbers drawn are random 
B) Yes,because you are selecting your own six numbers to play 
C) No,because the numbers you select to play are not random if you choose your anniversary date or your children's birth dates 
D) No,because the numbers drawn are random

Question 19

In a certain game you have to guess the number that your opponent writes down on a sheet of paper.You get five guesses.After each guess,your opponent has to tell you if your number is too high or too low.Each guess is considered ________ the last guess.

Accepted Answer

A) independent of 
B) dependent on 
A) independent of 
B) dependent on

Question 20

Ignoring twins and other multiple births,assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5.What is the probability that at least one of the next three babies is a boy?

Accepted Answer

A) 0.125 
B) 0.333 
C) 0.750 
D) 0.875 
A) 0.125 
B) 0.333 
C) 0.750 
D) 0.875

Suppose you have a perfectly fair 10-sided die,with sample space S = {1,2,3,4,5,6,7,8,9,10}.What are the probabilities of each possible outcome?

The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below. What is the sample space for the number of federal holidays?

The amount of snow each county in the United States received last year is an example of a _______ random variable.

What is the area of the red shaded region? (The figure below is a standard Normal probability distribution. )

The game of craps starts with a "come-out" roll,in which the shooter rolls a pair of dice.If the total of the "spots" on the up-faces is 2,3,or 12,the shooter loses immediately.What is the proportion of come-out rolls that ends up in an immediate loss for the shooter?

Suppose Team A has a 0.75 probability to win their next game and Team B has a 0.85 probability to win their next game.Assume these events are independent.What is the probability that Team A wins and Team B loses?

What is the probability 0 < Z < .5? (The figure below is a standard Normal probability distribution. )

A valid probability is any number between -1 and 1.

What is the sample space for the number of hours per week the average teenager spends on the Internet?

In a certain game you have to guess the number that your opponent writes down on a sheet of paper.You get five guesses and no additional information is given after each guess unless it is the correct number.Each guess is considered _______ the last guess.

The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below. Suppose you work for a private company that does not observe all the federal holidays.What is the sample space for the number of federal holidays that your company might observe?

Suppose you have a perfectly fair 10-sided die,with sample space S = {1,2,3,4,5,6,7,8,9,10}.What is the event H,which is defined as any even-numbered roll?

In a certain game you have to guess the number that your opponent writes down on a sheet of paper.You get five guesses.After each guess,your opponent has to tell you if your number is too high or too low.Each guess is considered ________ the last guess.

Ignoring twins and other multiple births,assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5.What is the probability that at least one of the next three babies is a boy?

Looking at Datadistributions

Looking at Datarelationships

Producing Data

Sampling Distributions

Introduction to Inference

Inference for Means

Inference for Proportions

Inference for Categorical Data

Inference for Regression

Multiple Regression

One-Way Analysis of Variance

Two-Way Analysis of Variance

Logistic Regression

Nonparametric Tests

Bootstrap Methods and Permutation Tests

Statistics for Quality: Control and Capability

Filters

Exam 4: Probability: the Study of Randomness

Suppose you have a perfectly fair 10-sided die,with sample space S = {1,2,3,4,5,6,7,8,9,10}.What are the probabilities of each possible outcome?

The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below. What is the sample space for the number of federal holidays?

The amount of snow each county in the United States received last year is an example of a _______ random variable.

What is the area of the red shaded region? (The figure below is a standard Normal probability distribution. )

The game of craps starts with a "come-out" roll,in which the shooter rolls a pair of dice.If the total of the "spots" on the up-faces is 2,3,or 12,the shooter loses immediately.What is the proportion of come-out rolls that ends up in an immediate loss for the shooter?

Suppose Team A has a 0.75 probability to win their next game and Team B has a 0.85 probability to win their next game.Assume these events are independent.What is the probability that Team A wins and Team B loses?

What is the probability 0 < Z < .5? (The figure below is a standard Normal probability distribution. )

A valid probability is any number between -1 and 1.

What is the sample space for the number of hours per week the average teenager spends on the Internet?

In a certain game you have to guess the number that your opponent writes down on a sheet of paper.You get five guesses and no additional information is given after each guess unless it is the correct number.Each guess is considered _______ the last guess.

Suppose you have a perfectly fair 10-sided die,with sample space S = {1,2,3,4,5,6,7,8,9,10}.What is the event H,which is defined as any even-numbered roll?

In a certain game you have to guess the number that your opponent writes down on a sheet of paper.You get five guesses.After each guess,your opponent has to tell you if your number is too high or too low.Each guess is considered ________ the last guess.

Ignoring twins and other multiple births,assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5.What is the probability that at least one of the next three babies is a boy?

Looking at Datadistributions

Looking at Datarelationships

Producing Data

Sampling Distributions

Introduction to Inference

Inference for Means

Inference for Proportions

Inference for Categorical Data

Inference for Regression

Multiple Regression

One-Way Analysis of Variance

Two-Way Analysis of Variance

Logistic Regression

Nonparametric Tests

Bootstrap Methods and Permutation Tests

Statistics for Quality: Control and Capability

Filters