Question 1

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 A

Question 2

If P(A)= 0.50,P(B)= 0.40,then,and P(A $\cup$ B)= 0.88,then P(B | A)=

Accepted Answer

A) 0.02 
B) 0.03 
C) 0.04 
D) 0.05 
A) 0.02 
B) 0.03 
C) 0.04 
D) 0.05 C

Question 3

If a penny is tossed three times and comes up heads all three times,the probability of heads on the fourth trial is

Accepted Answer

A) smaller than the probability of tails 
B) larger than the probability of tails 
C) 1/16 
D) 1/2 
A) smaller than the probability of tails 
B) larger than the probability of tails 
C) 1/16 
D) 1/2 D

Question 4

In the two upcoming basketball games,the probability that UTC will defeat Marshall is 0.63,and the probability that UTC will defeat Furman is 0.55.The probability that UTC will defeat both opponents is 0.3465.
a.What is the probability that UTC will defeat Furman given that they defeat Marshall?
b.What is the probability that UTC will win at least one of the games?
c.What is the probability of UTC winning both games?
d.Are the outcomes of the games independent? Explain and substantiate your answer.

Accepted Answer

a.0.55
b.0.8335
c.0.3465
d.Yes

Question 5

A college plans to interview 8 students for possible offer of graduate assistantships.The college has three assistantships available.How many groups of three can the college select?

Accepted Answer

The answer of A college plans to interview 8 students...

Question 6

Bayes' theorem is used to compute

Accepted Answer

A) the prior probabilities 
B) the union of events 
C) intersection of events 
D) the posterior probabilities 
A) the prior probabilities 
B) the union of events 
C) intersection of events 
D) the posterior probabilities

Question 7

Two events are mutually exclusive

Accepted Answer

A) if their intersection is 1 
B) if they have no sample points in common 
C) if their intersection is 0.5 
D) None of these alternatives is correct. 
A) if their intersection is 1 
B) if they have no sample points in common 
C) if their intersection is 0.5 
D) None of these alternatives is correct.

Question 8

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 9

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) None of these alternatives is correct. 
A) they must be mutually exclusive 
B) the sum of their probabilities must be equal to one 
C) their intersection must be zero 
D) None of these alternatives is correct.

Question 10

If A and B are independent events with P(A)= 0.38 and P(B)= 0.55,then P(A | B)=

Accepted Answer

A) 0.209 
B) 0.000 
C) 0.550 
D) 0.38 
A) 0.209 
B) 0.000 
C) 0.550 
D) 0.38

Question 11

Four workers at a fast food restaurant pack the take-out chicken dinners.John packs 45% of the dinners but fails to include a salt packet 4% of the time.Mary packs 25% of the dinners but omits the salt 2% of the time.Sue packs 30% of the dinners but fails to include the salt 3% of the time.You have purchased a dinner and there is no salt.
a.Find the probability that John packed your dinner.
b.Find the probability that Mary packed your dinner.

Accepted Answer

The answer of Four workers at a fast food restaurant...

Question 12

An experiment consists of four outcomes with P(E1)= 0.2,P(E2)= 0.3,and P(E3)= 0.4.The probability of outcome E4 is

Accepted Answer

A) 0.500 
B) 0.024 
C) 0.100 
D) 0.900 
A) 0.500 
B) 0.024 
C) 0.100 
D) 0.900

Question 13

A graphical device used for enumerating sample points in a multiple-step experiment is a

Accepted Answer

A) bar chart 
B) pie chart 
C) histogram 
D) None of these alternatives is correct. 
A) bar chart 
B) pie chart 
C) histogram 
D) None of these alternatives is correct.

Question 14

Events A and B are mutually exclusive.Which of the following statements is also true?

Accepted Answer

A) A and B are also independent. 
B) P(A $\cup$ 
B) = P(
A) P(
B)  
C) P(A $\cup$ 
B) = P(
A) + P(
B)  
D) P(A $\cap$ 
B) = P(
A) + P(
B)  
A) A and B are also independent. 
B) P(A $\cup$ 
B) = P(
A) P(
B)  
C) P(A $\cup$ 
B) = P(
A) + P(
B)  
D) P(A $\cap$ 
B) = P(
A) + P(
B)

Question 15

In a recent survey about appliance ownership,58.3% of the respondents indicated that they own Maytag appliances,while 23.9% indicated they own both Maytag and GE appliances and 70.7% said they own at least one of the two appliances.
Define the events as
M = Owning a Maytag appliance
G = Owning a GE appliance
a.What is the probability that a respondent owns a GE appliance?
b.Given that a respondent owns a Maytag appliance,what is the probability that the respondent also owns a GE appliance?
c.Are events "M" and "G" mutually exclusive? Why or why not? Explain,using probabilities.
d.Are the two events "M" and "G" independent? Explain,using probabilities.

Accepted Answer

a.0.363
b.0.4099
c.No,the inte

Question 16

An experiment consists of selecting a student body president and vice president.All undergraduate students (freshmen through seniors)are eligible for these offices.How many sample points (possible outcomes as to the classifications)exist?

Accepted Answer

A) 4 
B) 16 
C) 8 
D) 32 
A) 4 
B) 16 
C) 8 
D) 32

Question 17

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 18

Each individual outcome of an experiment is called

Accepted Answer

A) the sample space 
B) a sample point 
C) an experiment 
D) an individual 
A) the sample space 
B) a sample point 
C) an experiment 
D) an individual

Question 19

Two of the cylinders in an eight-cylinder car are defective and need to be replaced.If two cylinders are selected at random,what is the probability that
a.both defective cylinders are selected?
b.no defective cylinder is selected?
c.at least one defective cylinder is selected?

Accepted Answer

a.2/56
b.3

Question 20

An experiment consists of three steps.There are four possible results on the first step,three possible results on the second step,and two possible results on the third step.The total number of experimental outcomes is

Accepted Answer

A) 9 
B) 14 
C) 24 
D) 36 
A) 9 
B) 14 
C) 24 
D) 36

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

If P(A)= 0.50,P(B)= 0.40,then,and P(A $\cup$ B)= 0.88,then P(B | A)=

If a penny is tossed three times and comes up heads all three times,the probability of heads on the fourth trial is

A college plans to interview 8 students for possible offer of graduate assistantships.The college has three assistantships available.How many groups of three can the college select?

Bayes' theorem is used to compute

Two events are mutually exclusive

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

If two events are independent,then

If A and B are independent events with P(A)= 0.38 and P(B)= 0.55,then P(A | B)=

An experiment consists of four outcomes with P(E₁)= 0.2,P(E₂)= 0.3,and P(E₃)= 0.4.The probability of outcome E₄ is

A graphical device used for enumerating sample points in a multiple-step experiment is a

Events A and B are mutually exclusive.Which of the following statements is also true?

An experiment consists of selecting a student body president and vice president.All undergraduate students (freshmen through seniors)are eligible for these offices.How many sample points (possible outcomes as to the classifications)exist?

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

Each individual outcome of an experiment is called

Two of the cylinders in an eight-cylinder car are defective and need to be replaced.If two cylinders are selected at random,what is the probability that a.both defective cylinders are selected? b.no defective cylinder is selected? c.at least one defective cylinder is selected?

An experiment consists of three steps.There are four possible results on the first step,three possible results on the second step,and two possible results on the third step.The total number of experimental outcomes is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 4: Introduction to Probability

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

If P(A)= 0.50,P(B)= 0.40,then,and P(A ∪\cup∪ B)= 0.88,then P(B | A)=

If a penny is tossed three times and comes up heads all three times,the probability of heads on the fourth trial is

A college plans to interview 8 students for possible offer of graduate assistantships.The college has three assistantships available.How many groups of three can the college select?

Bayes' theorem is used to compute

Two events are mutually exclusive

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

If two events are independent,then

If A and B are independent events with P(A)= 0.38 and P(B)= 0.55,then P(A | B)=

An experiment consists of four outcomes with P(E1)= 0.2,P(E2)= 0.3,and P(E3)= 0.4.The probability of outcome E4 is

A graphical device used for enumerating sample points in a multiple-step experiment is a

Events A and B are mutually exclusive.Which of the following statements is also true?

An experiment consists of selecting a student body president and vice president.All undergraduate students (freshmen through seniors)are eligible for these offices.How many sample points (possible outcomes as to the classifications)exist?

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

Each individual outcome of an experiment is called

Two of the cylinders in an eight-cylinder car are defective and need to be replaced.If two cylinders are selected at random,what is the probability that a.both defective cylinders are selected? b.no defective cylinder is selected? c.at least one defective cylinder is selected?

An experiment consists of three steps.There are four possible results on the first step,three possible results on the second step,and two possible results on the third step.The total number of experimental outcomes is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

If P(A)= 0.50,P(B)= 0.40,then,and P(A $\cup$ B)= 0.88,then P(B | A)=

An experiment consists of four outcomes with P(E₁)= 0.2,P(E₂)= 0.3,and P(E₃)= 0.4.The probability of outcome E₄ is