Question 1

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 2

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 3

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 4

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 5

If P(A) = 0.48, P(A $\cup$ B) = 0.82, and P(B) = 0.54, then P(A $\cap$ B) =

Accepted Answer

A) 0.3936 
B) 0.3400 
C) 0.2000 
D) 1.0200 
A) 0.3936 
B) 0.3400 
C) 0.2000 
D) 1.0200

Question 6

If A and B are independent events with P(A) = 0.65 and P(A $\cap$ 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 7

The union of two events with nonzero probabilities

Accepted Answer

A) cannot be less than one 
B) cannot be one 
C) could be larger than one 
D) None of these alternatives is correct. 
A) cannot be less than one 
B) cannot be one 
C) could be larger than one 
D) None of these alternatives is correct.

Question 8

How many committees, consisting of 3 female and 5 male students, can be selected from a group of 5 female and 8 male students?

Accepted Answer

The answer of How many committees, consisting of 3 female...

Question 9

Two events with nonzero probabilities

Accepted Answer

A) can be both mutually exclusive and independent 
B) can not be both mutually exclusive and independent 
C) are always mutually exclusive 
D) are always independent 
A) can be both mutually exclusive and independent 
B) can not be both mutually exclusive and independent 
C) are always mutually exclusive 
D) are always independent

Question 10

The results of a survey of 800 married couples and the number of children they had is shown below.
 
If a couple is selected at random, what is the probability that the couple will have
a.Less than 4 children?
b.More than 2 children?
c.Either 2 or 3 children?

Accepted Answer

a.0.925
b.

Question 11

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 12

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A $\cap$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 13

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

Accepted Answer

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

Question 14

Assume that in your hand you hold an ordinary six-sided die and a dime. You toss both the die and the dime on a table.
a.What is the probability that a head appears on the dime and a six on the die?
b.What is the probability that a tail appears on the dime and any number more than 3 on the die?
c.What is the probability that a number larger than 2 appears on the die?

Accepted Answer

a.1/12
b.3

Question 15

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 16

A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is

Accepted Answer

A) 30 
B) 100 
C) 729 
D) 1,000 
A) 30 
B) 100 
C) 729 
D) 1,000

Question 17

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 18

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 19

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

Question 20

Sixty percent of the student body at UTC is from the state of Tennessee (T), 30% percent are from other states (O), and the remainder are international students (I). Twenty percent of students from Tennessee live in the dormitories, whereas, 50% of students from other states live in the dormitories. Finally, 80% of the international students live in the dormitories.
a.What percentage of UTC students live in the dormitories?
b.Given that a student lives in the dormitory, what is the probability that she/he is an international student?
c.Given that a student lives in the dormitory, what is the probability that she/he is from Tennessee?

Accepted Answer

a.35%
b.0.

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 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?

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?

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

If P(A) = 0.48, P(A $\cup$ B) = 0.82, and P(B) = 0.54, then P(A $\cap$ B) =

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

The union of two events with nonzero probabilities

How many committees, consisting of 3 female and 5 male students, can be selected from a group of 5 female and 8 male students?

Two events with nonzero probabilities

The results of a survey of 800 married couples and the number of children they had is shown below. If a couple is selected at random, what is the probability that the couple will have a.Less than 4 children? b.More than 2 children? c.Either 2 or 3 children?

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

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

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

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

A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is

The sum of the probabilities of two complementary events is

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

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: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

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

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

Exam 4: Introduction to Probability

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 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?

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?

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

If P(A) = 0.48, P(A ∪\cup∪ B) = 0.82, and P(B) = 0.54, then P(A ∩\cap∩ B) =

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

The union of two events with nonzero probabilities

How many committees, consisting of 3 female and 5 male students, can be selected from a group of 5 female and 8 male students?

Two events with nonzero probabilities

The results of a survey of 800 married couples and the number of children they had is shown below. If a couple is selected at random, what is the probability that the couple will have a.Less than 4 children? b.More than 2 children? c.Either 2 or 3 children?

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

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

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

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

A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is

The sum of the probabilities of two complementary events is

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

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: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

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

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

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

If P(A) = 0.48, P(A $\cup$ B) = 0.82, and P(B) = 0.54, then P(A $\cap$ B) =

If A and B are independent events with P(A) = 0.65 and P(A $\cap$ 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 $\cap$ B) =