Question 1

The symbol F1F1F1S1F1F1F10 shows the

Accepted Answer

A) union of events 
B) intersection of events 
C) sum of the probabilities of events 
D) None of the other answers is correct. 
A) union of events 
B) intersection of events 
C) sum of the probabilities of events 
D) None of the other answers is correct.

Question 2

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

Accepted Answer

The answer of A committee of 4 is to be...

Question 3

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 the other answers is correct. 
A) bar chart 
B) pie chart 
C) histogram 
D) None of the other answers is correct.

Question 4

Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?

Accepted Answer

A) 20 
B) 7 
C) 5 
D) 10 
A) 20 
B) 7 
C) 5 
D) 10

Question 5

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is

Accepted Answer

A) much larger than one 
B) zero 
C) infinity 
D) None of the other answers is correct. 
A) much larger than one 
B) zero 
C) infinity 
D) None of the other answers is correct.

Question 6

The sample space refers to

Accepted Answer

A) any particular experimental outcome 
B) the sample size minus one 
C) the set of all possible experimental outcomes 
D) both any particular experimental outcome and the set of all possible experimental outcomes are correct 
A) any particular experimental outcome 
B) the sample size minus one 
C) the set of all possible experimental outcomes 
D) both any particular experimental outcome and the set of all possible experimental outcomes are correct

Question 7

A machine is used in a production process. From past data, it is known that 97% of the time the machine is set up correctly. Furthermore, it is known that if the machine is set up correctly, it produces 95% acceptable (non-defective) items. However, when it is set up incorrectly, it produces only 40% acceptable items.
a.An item from the production line is selected. What is the probability that the selected item is non-defective?
b.Given that the selected item is non-defective, what is the probability that the machine is set up correctly?
c.What method of assigning probabilities was used here?

Accepted Answer

a.0.9335
b

Question 8

A bank has the following data on the gender and marital status of 200 customers.
   
a.What is the probability of finding a single female customer?
b.What is the probability of finding a married male customer?
c.If a customer is female, what is the probability that she is single?
d.What percentage of customers is male?
e.If a customer is male, what is the probability that he is married?
f. Are gender and marital status mutually exclusive?
g. Is marital status independent of gender? Explain using probabilities.

Accepted Answer

a.0.15
b.0.5
c.0.375
d.60%
e.0.833
f.No,

Question 9

The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?

Accepted Answer

A) 302,400 
B) 720 
C) 1,814,400 
D) 10 
A) 302,400 
B) 720 
C) 1,814,400 
D) 10

Question 10

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 11

If A and B are mutually exclusive events with P(A) F1F1F1S1F1F1F10 0.3 and P(B) F1F1F1S1F1F1F10 0.5, then P(A F1F1F1S1F1F1F10 B) F1F1F1S1F1F1F10

Accepted Answer

A) 0.00 
B) 0.15 
C) 0.8 
D) 0.2 
A) 0.00 
B) 0.15 
C) 0.8 
D) 0.2

Question 12

In statistical experiments, each time the experiment is repeated

Accepted Answer

A) the same outcome must occur 
B) the same outcome can not occur again 
C) a different outcome may occur 
D) None of the other answers is correct. 
A) the same outcome must occur 
B) the same outcome can not occur again 
C) a different outcome may occur 
D) None of the other answers is correct.

Question 13

The following probability model describes the number of snowstorms for Washington, D.C. for a given year:
   The probability of 7 or more snowstorms in a year is 0. 
a. What is the probability of more than 2 but less than 5 snowstorms?
b. Given this a particularly cold year (in which 2 snowstorms have already been observed), what is the conditional probability that 4 or more snowstorms will be observed?
c. If at the beginning of winter there is a snowfall, what is the probability of at least one more snowstorm before winter is over?

Accepted Answer

a. .15
b.

Question 14

The probability of an intersection of two events is computed using the

Accepted Answer

A) addition law 
B) subtraction law 
C) multiplication law 
D) division law 
A) addition law 
B) subtraction law 
C) multiplication law 
D) division law

Question 15

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

Question 16

If A and B are independent events with P(A) F1F1F1S1F1F1F10 0.38 and P(B) F1F1F1S1F1F1F10 0.55, then P(AF1F1F1S1F1F1F10B) F1F1F1S1F1F1F10

Accepted Answer

A) 0.209 
B) 0.000 
C) 0.550 
D) None of the other answers is correct. 
A) 0.209 
B) 0.000 
C) 0.550 
D) None of the other answers is correct.

Question 17

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 18

If P(A|B) = .3,

Accepted Answer

Question 19

A very short quiz has one multiple-choice question with five possible choices (a, b, c, d, e) and one true or false question. Assume you are taking the quiz but do not have any idea what the correct answer is to either question, but you mark an answer anyway.
a.What is the probability that you have given the correct answer to both questions?
b.What is the probability that only one of the two answers is correct?
c.What is the probability that neither answer is correct?
d.What is the probability that only your answer to the multiple-choice question is correct?
e.What is the probability that you have only answered the true or false question correctly?

Accepted Answer

a.1/10
b.5

Question 20

If A and B are mutually exclusive events with P(A) F1F1F1S1F1F1F10 0.3 and P(B) F1F1F1S1F1F1F10 0.5, then P(A F1F1F1S1F1F1F10 B) F1F1F1S1F1F1F10

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

The symbol  shows the

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

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

Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is

The sample space refers to

The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?

Revised probabilities of events based on additional information are

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

In statistical experiments, each time the experiment is repeated

The probability of an intersection of two events is computed using the

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) 

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?

If P(A|B) = .3,

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

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

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters

Exam 4: Introduction to Probability

The symbol  shows the

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

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

Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible selections are there?

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is

The sample space refers to

The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?

Revised probabilities of events based on additional information are

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

In statistical experiments, each time the experiment is repeated

The probability of an intersection of two events is computed using the

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) 

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?

If P(A|B) = .3,

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

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

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters