I need the following assignments answers. The assignments and ebook chapters are below.

Problem Set
1.
Consider the experiment of tossing a fair coin four times. The coin has two possible outcomes,
heads or tails.
a.
List the sample space for the outcomes that could happen when tossing the coin
four times. For example, if all four coin tosses produced heads, then the outcome
would be HHHH.
b.
If each outcome is equally likely, what is the probability that all four coin tosses
result in heads? Notice that the complement of “all four heads” is “at least one tail.”
Using this information, compute the probability that there will be at least one tail out
of the four coin tosses.
2.
Suppose you roll a single fair die and note the number rolled.
a.
What is the sample space for a single roll of a fair die? Are the outcomes equally
likely?
b.
Assign probabilities to the outcomes in the sample space found in part (a). Do these
probabilities add up to 1? Should they add up to 1? Why?
c.
What is the probability of getting a number less than 4 on a single roll?
d.
What is the probability of getting a 1 or a 2 on a single roll?
3. Suppose we are interested in studying movie ratings where movies get rated on a ±ve star
scale. One star means the critic thought the movie was horrible, and ±ve stars means the critic
thought it was one of the best movies of the year. Here is a frequency table for all the movies
rated by this critic for the year:
a.
Using this
information, if we chose a movie from
this group
at random, what is the probability that
the movie
received a:
1
star rating?
2
star rating?
3
star rating?
4
star rating?
5
star rating?
b.
Do the probabilities from part (a) add up to 1? Why should they? What is the sample
space in this problem?
4.
Given P(A) = 0.6 and P(B) = 0.3
a.
If A and B are mutually exclusive events, compute P(A or B).
b.
If P(A and B) = 0.2, compute P(A or B).
c.
If A and B are independent events, compute P(A and B).
d.
If P(B|A) = .1, compute P(A and B).
5.
Consider the following events for a college professor selected at random:
A = the professor has high blood pressure
B = the professor is over 50 years old
Translate each of the following scenarios into symbols. For example, the probability a professor has
high blood pressure would be P(A).
a.
The probability a professor has low blood pressure.
1
Copyright©2011 Cengage Learning. All Rights Reserved
Rating
Number of movies
that got that rating
1 Star
28
2 Star
123
3 Star
356
4 Star
289
5 Star
56

Problem Set
b.
The probability a professor has high blood pressure and is over 50 years old.
c.
The probability a professor has high blood pressure or is over 50 years old.
d.
The probability a 40-year-old professor has high blood pressure.
e.
The probability a professor with high blood pressure is over 50 years old.
f.
The probability a professor has low blood pressure and is over 50 years old.
6. Suppose we did collect data by asking professors how old they were and measuring their blood
pressure. The table below reFects the data collected based on these two variables:
Low Blood
Pressure
High Blood
Pressure
Total
50 and Under
64
51
115
Over 50
31
73
104
Total
95
124
219
Let us use the following notation for events: U = 50 and under, O = over 50, L = low blood
pressure and H = high blood pressure.
a.
Compute P(L), P(L|U) and P(L|O).
b.
Are the events L = low blood pressure and U = 50 and under independent? Why or
why not?
c.
Compute P(L and U) and P(L and O).
d.
Compute P(H) and P(H|U).
e.
Are the events H = high blood pressure and O = over 50 independent? Why or why
not?
f.
Compute P(L or U).
7.
Ryan is a record executive for a hip hop label in Atlanta, Georgia. He has a new album coming
out soon, and wants to know the best way to promote it, so he is considering many variables
that may have an e±ect. He is considering three di±erent album covers that may be used, four
di±erent television commercials that may be used, and two di±erent album posters that may be
used. Determine the number of di±erent combinations he needs in order to test each album
cover, television commercial, and album poster.
8. Which of the following are continuous variables, and which are discrete?
a.
Number of heads out of ²ve coin tosses
b.
Qualifying speed for the Daytona 500 in miles per hour
c.
Number of books needed for a literature class
d.
your weight when you wake up each morning
9. A number of books were reviewed for a history class based on the following scale from 1 to 5:
1=would not recommend the book, 2=cautious or very little recommendation, 3=little or no
preference, 4=favorable/recommended book, 5=outstanding/signi²cant contribution.
Book Rating, x
P(x)
1
.051
2
Copyright©2011 Cengage Learning. All Rights Reserved

Instuctor’s Annotated Edition
Understandable
Statistics
Concepts and Methods
Australia • Brazil • Japan • Korea • Mexico • Singapore •
Spain • United Kingdom • United States
Charles Henry Brase
Regis University
Corrinne Pellillo Brase
Arapahoe Community College
TENTH EDITION
Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.

Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
This is an electronic version of the print textbook. Due to electronic
r
ights restrictions, some third party content may
be suppressed. Editorial
review has deemed that any suppressed content does not materially affect the overall
learning experience. The publisher reserves the right to remove
content from this title at any time if subsequent rights
restrictions require it. For valuable information on pricing, previous editions, changes to current
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