Probability And Stochastic Processes A Friendly Introduction For Electrical And Computer Engineers 3rd Edition Solution Manual
3 views 0 purchase
Course
Probability And Stochastic Processes
Institution
Probability And Stochastic Processes
Solution Manual For Probability And Stochastic Processes A Friendly Introduction For Electrical And Computer Engineers 3rd Edition
Complete Solution Manual
, Probability and Stochastic Processes
A Friendly Introduction for Electrical and Computer Engineers
Third Edition
INSTRUCTOR’S SOLUTION MANUAL
Roy D. Yates, David J. Goodman, David Famolari
September 8, 2014
Comments on this Solutions Manual
• This solution manual is mostly complete. Please send error reports, suggestions, and
comments to ryates@winlab.rutgers.edu.
• To make solution sets for your class, use the Solution Set Constructor at the instruc-
tors site www.winlab.rutgers.edu/probsolns.
• Send email to ryates@winlab.rutgers.edu for access to the instructors site.
• Matlab functions written as solutions to homework problems can be found in the
archive matsoln3e.zip (available to instructors). Other Matlab functions used in
the text or in these homework solutions can be found in the archive matcode3e.zip.
The .m files in matcode3e are available for download from the Wiley website. Two
other documents of interest are also available for download:
– A manual probmatlab3e.pdf describing the matcode3e .m functions
– The quiz solutions manual quizsol.pdf.
• This manual uses a page size matched to the screen of an iPad tablet. If you do
print on paper and you have good eyesight, you may wish to print two pages per
sheet in landscape mode. On the other hand, a “Fit to Paper” printing option will
create “Large Print” output.
1
,Problem Solutions – Chapter 1
Problem 1.1.1 Solution
Based on the Venn diagram on the right, the complete Gerlandas
pizza menu is
• Regular without toppings M O
• Regular with mushrooms
• Regular with onions
• Regular with mushrooms and onions T
• Tuscan without toppings
• Tuscan with mushrooms
Problem 1.1.2 Solution
Based on the Venn diagram on the right, the answers are mostly
fairly straightforward. The only trickiness is that a pizza is either M O
Tuscan (T ) or Neapolitan (N ) so {N, T } is a partition but they
are not depicted as a partition. Specifically, the event N is the
region of the Venn diagram outside of the “square block” of event T
T . If this is clear, the questions are easy.
(a) Since N = T c , N ∩ M 6= φ. Thus N and M are not mutually exclusive.
(b) Every pizza is either Neapolitan (N ), or Tuscan (T ). Hence N ∪ T = S so
that N and T are collectively exhaustive. Thus its also (trivially) true that
N ∪ T ∪ M = S. That is, R, T and M are also collectively exhaustive.
(c) From the Venn diagram, T and O are mutually exclusive. In words, this
means that Tuscan pizzas never have onions or pizzas with onions are never
Tuscan. As an aside, “Tuscan” is a fake pizza designation; one shouldn’t
conclude that people from Tuscany actually dislike onions.
(d) From the Venn diagram, M ∩ T and O are mutually exclusive. Thus Ger-
landa’s doesn’t make Tuscan pizza with mushrooms and onions.
(e) Yes. In terms of the Venn diagram, these pizzas are in the set (T ∪ M ∪ O)c .
2
, Problem 1.1.3 Solution
R N
At Ricardo’s, the pizza crust is either Roman (R) or Neapolitan
M
(N ). To draw the Venn diagram on the right, we make the fol-
lowing observations: W O
• The set {R, N } is a partition so we can draw the Venn diagram with this
partition.
• Only Roman pizzas can be white. Hence W ⊂ R.
• Only a Neapolitan pizza can have onions. Hence O ⊂ N .
• Both Neapolitan and Roman pizzas can have mushrooms so that event M
straddles the {R, N } partition.
• The Neapolitan pizza can have both mushrooms and onions so M ∩ O cannot
be empty.
• The problem statement does not preclude putting mushrooms on a white
Roman pizza. Hence the intersection W ∩ M should not be empty.
Problem 1.2.1 Solution
(a) An outcome specifies whether the connection speed is high (h), medium (m),
or low (l) speed, and whether the signal is a mouse click (c) or a tweet (t).
The sample space is
S = {ht, hc, mt, mc, lt, lc} . (1)
(b) The event that the wi-fi connection is medium speed is A1 = {mt, mc}.
(c) The event that a signal is a mouse click is A2 = {hc, mc, lc}.
(d) The event that a connection is either high speed or low speed is A3 =
{ht, hc, lt, lc}.
3
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller ExamsExpert. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $28.12. You're not tied to anything after your purchase.
