Question 1

If a coin is tossed three times,the likelihood of obtaining three heads in a row is

Accepted Answer

A) zero 
B) 0.500 
C) 0.875 
D) 0.125 
A) zero 
B) 0.500 
C) 0.875 
D) 0.125

Question 2

An applicant has applied for positions at Company A and Company B.The probability of getting an offer from Company A is 0.4,and the probability of getting an offer from Company B is 0.3.Assuming that the two job offers are independent of each other,what is the probability that
a.the applicant gets an offer from both companies?
b.the applicant will get at least one offer?
c.the applicant will not be given an offer from either company?
d.Company A does not offer her a job,but Company B does?

Accepted Answer

a.0.12
b.0

Question 3

A graphical method of representing the sample points of an experiment is

Accepted Answer

A) a frequency polygon 
B) a histogram 
C) an ogive 
D) a tree diagram 
A) a frequency polygon 
B) a histogram 
C) an ogive 
D) a tree diagram

Question 4

Each customer entering a department store will either buy or not buy some merchandise.An experiment consists of following 3 customers and determining whether or not they purchase any merchandise.The number of sample points in this experiment is

Accepted Answer

A) 2 
B) 4 
C) 6 
D) 8 
A) 2 
B) 4 
C) 6 
D) 8

Question 5

From nine cards numbered 1 through 9,two cards are drawn.Consider the selection and classification of the cards as odd or even as an experiment.How many sample points are there for this experiment?

Accepted Answer

A) 2 
B) 3 
C) 4 
D) 9 
A) 2 
B) 3 
C) 4 
D) 9

Question 6

Assume you have applied for two jobs A and B.The probability that you get an offer for job A is 0.23.The probability of being offered job B is 0.19.The probability of getting at least one of the jobs is 0.38.
a.What is the probability that you will be offered both jobs?
b.Are events A and B mutually exclusive? Why or why not? Explain.

Accepted Answer

a.0.04
b.N

Question 7

The symbol $\cap$ shows the

Accepted Answer

A) union of events 
B) intersection of two events 
C) sum of the probabilities of events 
D) sample space 
A) union of events 
B) intersection of two events 
C) sum of the probabilities of events 
D) sample space

Question 8

Of the last 100 customers entering a computer shop,25 have purchased a computer.If the classical method for computing probability is used,the probability that the next customer will purchase a computer is

Accepted Answer

A) 0.25 
B) 0.50 
C) 1.00 
D) 0.75 
A) 0.25 
B) 0.50 
C) 1.00 
D) 0.75

Question 9

The symbol $\cup$ shows the

Accepted Answer

A) union of events 
B) intersection of two events 
C) sum of the probabilities of events 
D) sample space 
A) union of events 
B) intersection of two events 
C) sum of the probabilities of events 
D) sample space

Question 10

Two events,A and B,are mutually exclusive and each have a nonzero probability.If event A is known to occur,the probability of the occurrence of event B is

Accepted Answer

A) one 
B) any positive value 
C) zero 
D) any value between 0 to 1 
A) one 
B) any positive value 
C) zero 
D) any value between 0 to 1

Question 11

A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the

Accepted Answer

A) objective method 
B) classical method 
C) subjective method 
D) experimental method 
A) objective method 
B) classical method 
C) subjective method 
D) experimental method

Question 12

If A and B are independent events with P(A)= 0.4 and P(B)= 0.25,then P(A $\cup$ B)=

Accepted Answer

A) 0.65 
B) 0.55 
C) 0.10 
D) 0.75 
A) 0.65 
B) 0.55 
C) 0.10 
D) 0.75

Question 13

If X and Y are mutually exclusive events with P(X)= 0.295,P(Y)= 0.32,then P(X | Y)=

Accepted Answer

A) 0.0944 
B) 0.6150 
C) 1.0000 
D) 0.0000 
A) 0.0944 
B) 0.6150 
C) 1.0000 
D) 0.0000

Question 14

The union of events A and B is the event containing

Accepted Answer

A) all the sample points belonging to B or A 
B) all the sample points belonging to A or B 
C) all the sample points belonging to A or B or both 
D) all the sample points belonging to A or B,but not both 
A) all the sample points belonging to B or A 
B) all the sample points belonging to A or B 
C) all the sample points belonging to A or B or both 
D) all the sample points belonging to A or B,but not both

Question 15

In a city,60% of the residents live in houses and 40% of the residents live in apartments.Of the people who live in houses,20% own their own business.Of the people who live in apartments,10% own their own business.If a person owns his or her own business,find the probability that he or she lives in a house.

Accepted Answer

The answer of In a city,60% of the residents live...

Question 16

If P(A)= 0.58,P(B)= 0.44,and P(A $\cap$ B)= 0.25,then P(A $\cup$ B)=

Accepted Answer

A) 1.02 
B) 0.77 
C) 0.11 
D) 0.39 
A) 1.02 
B) 0.77 
C) 0.11 
D) 0.39

Question 17

In a recent survey in a Statistics class,it was determined that only 60% of the students attend class on Fridays.From past data it was noted that 98% of those who went to class on Fridays pass the course,while only 20% of those who did not go to class on Fridays passed the course.
a.What percentage of students is expected to pass the course?
b.Given that a person passes the course,what is the probability that he/she attended classes on Fridays?

Accepted Answer

The answer of In a recent survey in a Statistics...

Question 18

Six applications for admission to a local university are checked,and it is determined whether each applicant is male or female.How many sample points exist in the above experiment?

Accepted Answer

A) 64 
B) 32 
C) 16 
D) 4 
A) 64 
B) 32 
C) 16 
D) 4

If a coin is tossed three times,the likelihood of obtaining three heads in a row is

A graphical method of representing the sample points of an experiment is

Each customer entering a department store will either buy or not buy some merchandise.An experiment consists of following 3 customers and determining whether or not they purchase any merchandise.The number of sample points in this experiment is

From nine cards numbered 1 through 9,two cards are drawn.Consider the selection and classification of the cards as odd or even as an experiment.How many sample points are there for this experiment?

The symbol $\cap$ shows the

Of the last 100 customers entering a computer shop,25 have purchased a computer.If the classical method for computing probability is used,the probability that the next customer will purchase a computer is

The symbol $\cup$ shows the

Two events,A and B,are mutually exclusive and each have a nonzero probability.If event A is known to occur,the probability of the occurrence of event B is

A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the

If A and B are independent events with P(A)= 0.4 and P(B)= 0.25,then P(A $\cup$ B)=

If X and Y are mutually exclusive events with P(X)= 0.295,P(Y)= 0.32,then P(X | Y)=

The union of events A and B is the event containing

If P(A)= 0.58,P(B)= 0.44,and P(A $\cap$ B)= 0.25,then P(A $\cup$ B)=

Six applications for admission to a local university are checked,and it is determined whether each applicant is male or female.How many sample points exist in the above experiment?

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

If a coin is tossed three times,the likelihood of obtaining three heads in a row is

A graphical method of representing the sample points of an experiment is

Each customer entering a department store will either buy or not buy some merchandise.An experiment consists of following 3 customers and determining whether or not they purchase any merchandise.The number of sample points in this experiment is

From nine cards numbered 1 through 9,two cards are drawn.Consider the selection and classification of the cards as odd or even as an experiment.How many sample points are there for this experiment?

The symbol ∩\cap∩ shows the

Of the last 100 customers entering a computer shop,25 have purchased a computer.If the classical method for computing probability is used,the probability that the next customer will purchase a computer is

The symbol ∪\cup∪ shows the

Two events,A and B,are mutually exclusive and each have a nonzero probability.If event A is known to occur,the probability of the occurrence of event B is

A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the

If A and B are independent events with P(A)= 0.4 and P(B)= 0.25,then P(A ∪\cup∪ B)=

If X and Y are mutually exclusive events with P(X)= 0.295,P(Y)= 0.32,then P(X | Y)=

The union of events A and B is the event containing

If P(A)= 0.58,P(B)= 0.44,and P(A ∩\cap∩ B)= 0.25,then P(A ∪\cup∪ B)=

Six applications for admission to a local university are checked,and it is determined whether each applicant is male or female.How many sample points exist in the above experiment?

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

The symbol $\cap$ shows the

The symbol $\cup$ shows the

If A and B are independent events with P(A)= 0.4 and P(B)= 0.25,then P(A $\cup$ B)=

If P(A)= 0.58,P(B)= 0.44,and P(A $\cap$ B)= 0.25,then P(A $\cup$ B)=