Question 1

All outcomes in the sample space that are not in event A can be described as:

Accepted Answer

A)  event A corollary. 
B)  event A complement. 
C)  event A disjoint. 
D)  event A intersect. 
A)  event A corollary. 
B)  event A complement. 
C)  event A disjoint. 
D)  event A intersect.

Question 2

Two events that have no outcomes in common are said to be:

Accepted Answer

A)  independent. 
B)  complementary events. 
C)  disjoint events. 
D)  intersecting events. 
A)  independent. 
B)  complementary events. 
C)  disjoint events. 
D)  intersecting events.

Question 3

The current form of the Milton Bradley board game Life includes a circular spinner that has 10 evenly spaced numbers around the edge, which specify the number of places a character will move.Assuming the spinner is balanced, the outcomes 1 through 10 inclusive are equally likely.On your next turn, you must move more than 4 spaces to be in the lead.However, in your current location on the game board, every other space (each odd space) gives you an undesirable result.What is the probability that on your next turn you will be in the lead and not have an undesirable result?

Accepted Answer

A)  0.2 
B)  0.4 
C)  0.3 
D)  0.6 
A)  0.2 
B)  0.4 
C)  0.3 
D)  0.6

Question 4

On a given day, 280 people jaywalk across a busy intersection.Of these people, 50% are male, 80% are university undergraduate students, and 40% are female university undergraduate students.A person is hit by a car while jaywalking across the intersection.We can see that the person is female.What is the probability that the victim is a university undergraduate student?

Accepted Answer

A)  0.40 
B)  0.32 
C)  0.10 
D)  0.80 
A)  0.40 
B)  0.32 
C)  0.10 
D)  0.80

Question 5

For any two events A and B, if A∩B = { } (where { } is defined as the empty set), then A and B are said to be:

Accepted Answer

A)  uncommon events. 
B)  unified events. 
C)  disjoint events. 
D)  disheveled events. 
A)  uncommon events. 
B)  unified events. 
C)  disjoint events. 
D)  disheveled events.

Question 6

Which of the following statements is true if and only if events A and B are disjoint?

Accepted Answer

A)  P(A∪
B)  = P(
A)  + P(
B)  
B)  P(A∩
B)  = P(
A)  ∙ P(
B)  
C)    
D)    
A)  P(A∪
B)  = P(
A)  + P(
B)  
B)  P(A∩
B)  = P(
A)  ∙ P(
B)  
C)    
D)

Question 7

If P(A) = 1, then we know that event A is:

Accepted Answer

A)  highly unlikely to occur. 
B)  almost certain to occur. 
C)  absolutely certain to occur. 
D)  absolutely certain not to occur. 
A)  highly unlikely to occur. 
B)  almost certain to occur. 
C)  absolutely certain to occur. 
D)  absolutely certain not to occur.

Question 8

If { } is defined as the empty set, then by definition P({ }) must be:

Accepted Answer

A)  greater than 0. 
B)  equal to 0. 
C)  less than 0. 
D)  between 0 and 1, exclusive. 
A)  greater than 0. 
B)  equal to 0. 
C)  less than 0. 
D)  between 0 and 1, exclusive.

Question 9

Suppose that an ice cream shop offers a special deal one day: The price of a small ice cream cone will be determined by rolling a pair of ordinary, six-sided dice.The price (in cents) will be the larger number followed by the equal or smaller number.For example, if the first die shows a three and the second die a six, the piece of a cone will be 63 cents.If two fives are rolled, then the price is 55 cents. How many different prices are possible in the sample space for this situation?

Accepted Answer

A)  6 
B)  21 
C)  36 
D)  50 
A)  6 
B)  21 
C)  36 
D)  50

Question 10

0! =

Accepted Answer

A)  1. 
B)  0. 
C)  2. 
D)  undefined. 
A)  1. 
B)  0. 
C)  2. 
D)  undefined.

Question 11

Suppose that an ice cream shop offers a special deal one day: The price of a small ice cream cone will be determined by rolling a pair of ordinary, six-sided dice.The price (in cents) will be the larger number followed by the smaller number.Let A be the event that the price of a cone costs more than 50 cents.What is the complementary event?

Accepted Answer

A)  The price of an ice cream cone does not cost 50 cents. 
B)  The price of an ice cream cone costs less than 50 cents. 
C)  The price of an ice cream cone costs no more than 50 cents. 
D)  The price of an ice cream cone costs at least 50 cents. 
A)  The price of an ice cream cone does not cost 50 cents. 
B)  The price of an ice cream cone costs less than 50 cents. 
C)  The price of an ice cream cone costs no more than 50 cents. 
D)  The price of an ice cream cone costs at least 50 cents.

Question 12

Twenty-eight percentof all people who take college statistics classes claim that they found a use for the class sometime during their college career.Of those who found a use for the class, 93% found gainful employment after graduation.Eighty-six percent of all people who take college statistics found gainful employment after graduation.What is the probability that a randomly selected student who took college statistics found a use for the class and found gainful employment after graduation?

Accepted Answer

A)  0.2604 
B)  0.2408 
C)  0.7998 
D)  0.3500 
A)  0.2604 
B)  0.2408 
C)  0.7998 
D)  0.3500

Question 13

As used in the text, the term "experiment" is defined as:

Accepted Answer

A)  an activity in which there is one outcome that is certain to occur. 
B)  an activity in which the uncertainty of the outcome is so great that we cannot hope to make reasonable predictions. 
C)  an activity in which there are at least two possible outcomes and the result of the activity cannot be predicted with absolute certainty. 
D)  an activity in which there are at most two possible outcomes and the result of the activity cannot be predicted with absolute certainty. 
A)  an activity in which there is one outcome that is certain to occur. 
B)  an activity in which the uncertainty of the outcome is so great that we cannot hope to make reasonable predictions. 
C)  an activity in which there are at least two possible outcomes and the result of the activity cannot be predicted with absolute certainty. 
D)  an activity in which there are at most two possible outcomes and the result of the activity cannot be predicted with absolute certainty.

Question 14

If an ATM code consists of four numeric characters 0 to 9 inclusive, how many possible four-digit ATM codes are possible using the numbers 0 through 9?

Accepted Answer

A)  6561 
B)  1,048,576 
C)  100,000 
D)  10,000 
A)  6561 
B)  1,048,576 
C)  100,000 
D)  10,000

Question 15

In an army platoon, a squad is being randomly chosen to go on patrol.The order of the selected participants matters, because it determines the positioning of each soldier; that is, the first chosen person will be the lead or the "point" man, with the second chosen following, and so on.If the source platoon consists of 16 soldiers and the squad being selected will have four soldiers, how many possible unique squads are there?

Accepted Answer

A)  43,680 
B)  1820 
C)  64 
D)  65,536 
A)  43,680 
B)  1820 
C)  64 
D)  65,536

Question 16

S = {E1, E2, E3, E4, E5, E6}.A = {E1, E4}.What is A′?

Accepted Answer

A)  {E1, E2, E3, E4, E5, E6} 
B)  {E1, E3, E4, E5, E6} 
C)  {E2, E3, E5} 
D)  {E2, E3, E5, E6} 
A)  {E1, E2, E3, E4, E5, E6} 
B)  {E1, E3, E4, E5, E6} 
C)  {E2, E3, E5} 
D)  {E2, E3, E5, E6}

Question 17

What is the probability that you roll at least one six in four rolls of a die?

Accepted Answer

A)  5/6 
B)  0.518 
C)  0.482 
D)  0.004 
A)  5/6 
B)  0.518 
C)  0.482 
D)  0.004

Question 18

You wish to conduct a small survey to determine how fans feel about an upcoming ticket price increase to support an addition to the city's pro football stadium.Each person surveyed can make one of three responses: favor, oppose, or neutral.You survey three people independently.How many possible combined outcomes are there from this survey?

Accepted Answer

A)  6 
B)  9 
C)  An infinite number of possibilities 
D)  27 
A)  6 
B)  9 
C)  An infinite number of possibilities 
D)  27

Question 19

If the outcome of one event has no bearing on the probability of another, the two events are said to be:

Accepted Answer

A)  disjoint. 
B)  mutually exclusive. 
C)  independent. 
D)  conditional. 
A)  disjoint. 
B)  mutually exclusive. 
C)  independent. 
D)  conditional.

Question 20

Three factory workers work independently assembling office chairs for a local furniture wholesaler.Each worker completely assembles one chair per day.Worker number 1 has a defect rate of 0.01, worker number 2 has a defect rate of 0.15, and worker number 3 has a defect rate of 0.19 (workers 2 and 3 are very poor workers).What is the probability that on any given day, the workers produce three defective chairs?

Accepted Answer

A)  2.85 × 10-4 
B)  0.35 
C)  2.315 × 10-11 
D)  0.2% 
A)  2.85 × 10-4 
B)  0.35 
C)  2.315 × 10-11 
D)  0.2%

All outcomes in the sample space that are not in event A can be described as:

Two events that have no outcomes in common are said to be:

For any two events A and B, if A∩B = { } (where { } is defined as the empty set), then A and B are said to be:

Which of the following statements is true if and only if events A and B are disjoint?

If P(A) = 1, then we know that event A is:

If { } is defined as the empty set, then by definition P({ }) must be:

0! =

As used in the text, the term "experiment" is defined as:

If an ATM code consists of four numeric characters 0 to 9 inclusive, how many possible four-digit ATM codes are possible using the numbers 0 through 9?

S = {E1, E2, E3, E4, E5, E6}.A = {E1, E4}.What is A′?

What is the probability that you roll at least one six in four rolls of a die?

If the outcome of one event has no bearing on the probability of another, the two events are said to be:

Why Study Statistics

An Introduction to Statistics and Statistical Inference

Tables and Graphs for Summarizing Data

Numerical Summary Measures

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Confidence Intervals Based on a Single Sample

Hypothesis Tests Based on a Single Sample

Confidence Intervals and Hypothesis Tests Based on Two Samples or Treatments

The Analysis of Variance

Correlation and Linear Regression

Categorical Data and Frequency Tables

Nonparametric Statistics

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Exam 5: Probability

All outcomes in the sample space that are not in event A can be described as:

Two events that have no outcomes in common are said to be:

For any two events A and B, if A∩B = { } (where { } is defined as the empty set), then A and B are said to be:

Which of the following statements is true if and only if events A and B are disjoint?

If P(A) = 1, then we know that event A is:

If { } is defined as the empty set, then by definition P({ }) must be:

0! =

As used in the text, the term "experiment" is defined as:

If an ATM code consists of four numeric characters 0 to 9 inclusive, how many possible four-digit ATM codes are possible using the numbers 0 through 9?

S = {E1, E2, E3, E4, E5, E6}.A = {E1, E4}.What is A′?

What is the probability that you roll at least one six in four rolls of a die?

If the outcome of one event has no bearing on the probability of another, the two events are said to be:

Why Study Statistics

An Introduction to Statistics and Statistical Inference

Tables and Graphs for Summarizing Data

Numerical Summary Measures

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Confidence Intervals Based on a Single Sample

Hypothesis Tests Based on a Single Sample

Confidence Intervals and Hypothesis Tests Based on Two Samples or Treatments

The Analysis of Variance

Correlation and Linear Regression

Categorical Data and Frequency Tables

Nonparametric Statistics

Filters