Question 1

Given that event E has a probability of 0.31, the probability of the complement of event E

Accepted Answer

A) cannot be determined with the above information 
B) can have any value between zero and one 
C) 0.69 
D) is 0.31 
A) cannot be determined with the above information 
B) can have any value between zero and one 
C) 0.69 
D) is 0.31

Question 2

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 3

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

Question 4

The following table shows the number of students in three different degree programs and whether they are graduate or undergraduate students:
   
a.What is the probability that a randomly selected student is an undergraduate?
b.What percentage of students is engineering majors?
c.If we know that a selected student is an undergraduate, what is the probability that he or she is a business major?
d.A student is enrolled in the Arts and Sciences school. What is the probability that the student is an undergraduate student?
e.
What is the probability that a randomly selected student is a graduate Business major?

Accepted Answer

a.0.8
b.35

Question 5

A method of assigning probabilities based upon judgment is referred to as the

Accepted Answer

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

Question 6

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 7

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B)

Accepted Answer

A) is 0.00 
B) is 1.00 
C) is 0.5 
D) None of these alternatives is correct. 
A) is 0.00 
B) is 1.00 
C) is 0.5 
D) None of these alternatives is correct.

Question 8

You are applying for graduate school at University A. In the past 42% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 40% of the students who were not accepted had GMAT scores in excess of 550. You take the GMAT exam and score 640. What is the probability that you will be accepted into graduate school of university A?

Accepted Answer

The answer of You are applying for graduate school at...

Question 9

You are given the following information on Events A, B, C, and d.   a. Compute P(D).
b. Compute P(A $\cap$  B).
c. Compute P(A|C).
d. Compute the probability of the complement of c.
e. Are A and B mutually exclusive? Explain your answer.
f. Are A and B independent? Explain your answer.
g. Are A and C mutually exclusive? Explain your answer.
h. Are A and C independent? Explain your answer.

Accepted Answer

a.0.23
b.0.06
c.0.4
d.0.9
e.No

Question 10

The multiplication law is potentially helpful when we are interested in computing the probability of

Accepted Answer

A) mutually exclusive events 
B) the intersection of two events 
C) the union of two events 
D) conditional events 
A) mutually exclusive events 
B) the intersection of two events 
C) the union of two events 
D) conditional events

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

A student has to take 7 more courses before she can graduate. If none of the courses are prerequisites to others, how many groups of three courses can she select for the next semester?

Accepted Answer

The answer of A student has to take 7 more...

Question 13

The sum of the probabilities of two complementary events is

Accepted Answer

A) Zero 
B) 0.5 
C) 0.57 
D) 1.0 
A) Zero 
B) 0.5 
C) 0.57 
D) 1.0

Question 14

Initial estimates of the probabilities of events are known as

Accepted Answer

A) sets 
B) posterior probabilities 
C) conditional probabilities 
D) prior probabilities 
A) sets 
B) posterior probabilities 
C) conditional probabilities 
D) prior probabilities

Question 15

Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.2. Then, P(Bc) =

Accepted Answer

A) 0.00 
B) 0.06 
C) 0.7 
D) 0.8 
A) 0.00 
B) 0.06 
C) 0.7 
D) 0.8

Question 16

Three applications for admission to a local university are checked, and it is determined whether each applicant is male or female. 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 17

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 18

The collection of all possible sample points in an experiment is

Accepted Answer

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

Question 19

The set of all possible sample points (experimental outcomes) is called

Accepted Answer

A) a sample 
B) an event 
C) the sample space 
D) a population 
A) a sample 
B) an event 
C) the sample space 
D) a population

Question 20

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...

Given that event E has a probability of 0.31, the probability of the complement of event E

Two events are mutually exclusive

A method of assigning probabilities based upon judgment is referred to as the

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

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B)

The multiplication law is potentially helpful when we are interested in computing the probability of

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

A student has to take 7 more courses before she can graduate. If none of the courses are prerequisites to others, how many groups of three courses can she select for the next semester?

The sum of the probabilities of two complementary events is

Initial estimates of the probabilities of events are known as

Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.2. Then, P(B^c) =

Three applications for admission to a local university are checked, and it is determined whether each applicant is male or female. The number of sample points in this experiment is

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 collection of all possible sample points in an experiment is

The set of all possible sample points (experimental outcomes) is called

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?

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

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

Exam 4: Introduction to Probability

Given that event E has a probability of 0.31, the probability of the complement of event E

Two events are mutually exclusive

A method of assigning probabilities based upon judgment is referred to as the

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

If P(A) = 0.5 and P(B) = 0.5, then P(A ∩\cap∩ B)

The multiplication law is potentially helpful when we are interested in computing the probability of

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

A student has to take 7 more courses before she can graduate. If none of the courses are prerequisites to others, how many groups of three courses can she select for the next semester?

The sum of the probabilities of two complementary events is

Initial estimates of the probabilities of events are known as

Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.2. Then, P(Bc) =

Three applications for admission to a local university are checked, and it is determined whether each applicant is male or female. The number of sample points in this experiment is

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 collection of all possible sample points in an experiment is

The set of all possible sample points (experimental outcomes) is called

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?

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

Comparisons Involving Means, Experimental Design and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

If P(A) = 0.5 and P(B) = 0.5, then P(A $\cap$ B)

Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.2. Then, P(B^c) =