Question 1

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a​

Accepted Answer

A)  Frequency polygon. 
B)  ​Venn diagram. 
C)  ​Pareto chart. 
D)  ​Box plot. 
A)  Frequency polygon. 
B)  ​Venn diagram. 
C)  ​Pareto chart. 
D)  ​Box plot. B

Question 2

Each customer entering a department store will either buy or not buy some merchandise.An experiment consists of following 4 customers and determining whether or not they purchase any merchandise.How many sample points exist in the above experiment? (Note that each customer is either a purchaser or non-purchaser.)

Accepted Answer

A)  2 
B)  4 
C)  12 
D)  16 
A)  2 
B)  4 
C)  12 
D)  16 D

Question 3

If two events are independent, then

Accepted Answer

A)  they must be mutually exclusive. 
B)  the sum of their probabilities must be equal to one. 
C)  their intersection must be zero. 
D)  the product of their probabilities gives their intersection. 
A)  they must be mutually exclusive. 
B)  the sum of their probabilities must be equal to one. 
C)  their intersection must be zero. 
D)  the product of their probabilities gives their intersection. D

Question 4

​Revised probabilities of events based on additional information are

Accepted Answer

A)  ​joint probabilities. 
B)  ​posterior probabilities. 
C)  ​marginal probabilities. 
D)  ​complementary probabilities. 
A)  ​joint probabilities. 
B)  ​posterior probabilities. 
C)  ​marginal probabilities. 
D)  ​complementary probabilities.

Question 5

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) =

Accepted Answer

A)  0.62. 
B)  0.12. 
C)  0.60. 
D)  0.68. 
A)  0.62. 
B)  0.12. 
C)  0.60. 
D)  0.68.

Question 6

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

Accepted Answer

A)  0.14. 
B)  0.43. 
C)  0.75. 
D)  0.59. 
A)  0.14. 
B)  0.43. 
C)  0.75. 
D)  0.59.

Question 7

The union of events A and B is the event containing all the sample points belonging to

Accepted Answer

A)  B or A. 
B)  A or B. 
C)  A or B or both. 
D)  A or B, but not both. 
A)  B or A. 
B)  A or B. 
C)  A or B or both. 
D)  A or B, but not both.

Question 8

An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

Accepted Answer

A)  16. 
B)  8. 
C)  4. 
D)  2. 
A)  16. 
B)  8. 
C)  4. 
D)  2.

Question 9

​An element of the sample space is

Accepted Answer

A)  ​an event. 
B)  ​an experiment. 
C)  ​a sample point. 
D)  ​a permutation. 
A)  ​an event. 
B)  ​an experiment. 
C)  ​a sample point. 
D)  ​a permutation.

Question 10

If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are

Accepted Answer

A)  non-mutually exclusive. 
B)  mutually exclusive. 
C)  independent events. 
D)  complements of each other. 
A)  non-mutually exclusive. 
B)  mutually exclusive. 
C)  independent events. 
D)  complements of each other.

Question 11

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

Accepted Answer

A)  much larger than any other outcome. 
B)  much smaller than any other outcome. 
C)  1/6. 
D)  1/216. 
A)  much larger than any other outcome. 
B)  much smaller than any other outcome. 
C)  1/6. 
D)  1/216.

Question 12

In an experiment, events A and B are mutually exclusive.If P(A) = 0.6, then the probability of B

Accepted Answer

A)  cannot be larger than 0.4. 
B)  can be any value greater than 0.6. 
C)  can be any value between 0 to 1. 
D)  cannot be determined with the information given. 
A)  cannot be larger than 0.4. 
B)  can be any value greater than 0.6. 
C)  can be any value between 0 to 1. 
D)  cannot be determined with the information given.

Question 13

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is​

Accepted Answer

A)  ​all new customers. 
B)  ​all accounts fewer than 31 or more than 60 days past due. 
C)  ​all accounts from new customers and all accounts that are from 31 to 60 days past due. 
D)  ​all new customers whose accounts are between 31 and 60 days past due. 
A)  ​all new customers. 
B)  ​all accounts fewer than 31 or more than 60 days past due. 
C)  ​all accounts from new customers and all accounts that are from 31 to 60 days past due. 
D)  ​all new customers whose accounts are between 31 and 60 days past due.

Question 14

If A and B are independent events with P(A) = .1 and P(B) = .4, then

Accepted Answer

A)  P(
A)  
B)  = 0. 
B)  P(A ) 
B)  = .04. 
C)  P(A * 
B)  = .5. 
D)  P(A $\cap$
B)  = .25. 
A)  P(
A)  
B)  = 0. 
B)  P(A ) 
B)  = .04. 
C)  P(A * 
B)  = .5. 
D)  P(A $\cap$
B)  = .25.

Question 15

If A and B are independent events with P(A) = 0.65 and P(A ∩ B) = 0.26, then, P(B) =

Accepted Answer

A)  0.400. 
B)  0.169. 
C)  0.390. 
D)  0.650. 
A)  0.400. 
B)  0.169. 
C)  0.390. 
D)  0.650.

Question 16

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩ B) =

Accepted Answer

A)  0.30. 
B)  0.15. 
C)  0.00. 
D)  0.20. 
A)  0.30. 
B)  0.15. 
C)  0.00. 
D)  0.20.

Question 17

A six-sided die is tossed 3 times.The probability of observing three ones in a row is

Accepted Answer

A)  1/6. 
B)  3/6. 
C)  1/27. 
D)  1/216. 
A)  1/6. 
B)  3/6. 
C)  1/27. 
D)  1/216.

Question 18

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called the

Accepted Answer

A)  counting rule for permutations. 
B)  counting rule for combinations. 
C)  counting rule for independent events. 
D)  counting rule for multiple-step random experiments. 
A)  counting rule for permutations. 
B)  counting rule for combinations. 
C)  counting rule for independent events. 
D)  counting rule for multiple-step random experiments.

Question 19

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) =

Accepted Answer

A)  0.00. 
B)  0.15. 
C)  0.80. 
D)  0.20. 
A)  0.00. 
B)  0.15. 
C)  0.80. 
D)  0.20.

Question 20

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

Accepted Answer

A)  relative frequency method. 
B)  subjective method. 
C)  probability method. 
D)  classical method. 
A)  relative frequency method. 
B)  subjective method. 
C)  probability method. 
D)  classical method.

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

If two events are independent, then

Revised probabilities of events based on additional information are

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) =

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

The union of events A and B is the event containing all the sample points belonging to

An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

An element of the sample space is

If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

In an experiment, events A and B are mutually exclusive.If P(A) = 0.6, then the probability of B

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is

If A and B are independent events with P(A) = .1 and P(B) = .4, then

If A and B are independent events with P(A) = 0.65 and P(A ∩ B) = 0.26, then, P(B) =

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩ B) =

A six-sided die is tossed 3 times.The probability of observing three ones in a row is

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called the

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) =

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

Exam 4: Introduction to Probability

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a​

If two events are independent, then

​Revised probabilities of events based on additional information are

If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) =

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

The union of events A and B is the event containing all the sample points belonging to

An experiment consists of tossing 4 coins successively.The number of sample points in this experiment is

​An element of the sample space is

If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

In an experiment, events A and B are mutually exclusive.If P(A) = 0.6, then the probability of B

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is​

If A and B are independent events with P(A) = .1 and P(B) = .4, then

If A and B are independent events with P(A) = 0.65 and P(A ∩ B) = 0.26, then, P(B) =

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∩ B) =

A six-sided die is tossed 3 times.The probability of observing three ones in a row is

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called the

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) =

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

Data and Statistics

Descriptive Statistics: Tabulargraphical

Descriptive Statistics: Numerical

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

A graphical representation in which the sample space is represented by a rectangle and events are represented as circles is called a

Revised probabilities of events based on additional information are

An element of the sample space is

In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.The intersection of A and B is