ENGM2032, Applied Probability and Statistics
Winter 2010
Assignment #3: Solutions
1) Let S be the event that the company sells its products online. Let H be the event the company experiences at least one hacking attack a day. that We are given: P S = 0.70

ENGM2032, Applied Probability and Statistics
Fall 2015
Assignment #5
Due: Thursday Nov 5, 2015
1) One approach to parallel processing is to link up a set of computers using a network and then
break up large programs to run in parallel on each computer in

ENGM2032, Applied Probability and Statistics
Fall 2013
Assignment #5: Solutions
2
2
1) a) First, Var X = E X 2 E X 29 4 25, and Var Y = E Y 2 E Y =
=
=
52 16 = 36. Then, Var W = Var X + Var Y = 25 + 36 = 61, and W = 7.8102.
b) Var Z = 4Var X = 4(25) = 10

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #5: Solutions
1) Let N100 be the number of computers that fail to restart after a power failure. Then since we
are told that failures to restart are independent with constant probability p

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #7
Due: Tuesday, Nov 15, 2011
1) This question exercises the use of the t and 2 distribution tables. Suppose that T has a
t-distribution with 9 degrees of freedom. Then what is
a) P T < 3.2

ENGM2032, Applied Probability and Statistics
Instructions:
Winter 2000
Final Exam, April 13, 2000
1) This is a closed-book test. Only pens, pencils, and calculators are allowed in the exam. Summary pages will be provided.
2) The test is marked out of 100.

ENGM2032, Applied Probability and Statistics
Winter 2008
Assignment #3: Solutions
1) Let A be the event that she ies with airline #1.
Let B be the event that she ies with airline #2.
Let C be the event that she ies with airline #3.
Let D be the event that

ENGM2032, Applied Probability and Statistics
Winter 2010
Assignment #1: Solutions
1) The sample means, standard deviations, and medians (in l/100 km) of observed fuel consumptions for both cars are summarized in the following table: Car A a) b) c) Mean, x

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #5
Due: Tuesday, November 1, 2011
1) One approach to parallel processing is to link up a set of computers using a network and then
break up large programs to run in parallel on each compute

ENGM2032, Applied Probability and Statistics
Winter 2006
Assignment #3
Due: Start of class, Tuesday, Jan 24, 2006 1) Assume that 70% of companies that maintain a website sell their products online. It is estimated that 80% of the companies that offer onli

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #4
Due: Tuesday, October 18, 2011
1) A coin is tossed until a head appears. Let X count the number of tosses.
a) What is the probability mass function for X?
b) What is the expected value o

ENGM2032, Applied Probability and Statistics
Winter 2010
Assignment #5
Due: Monday Feb 15 (Sexton), Tuesday Feb 16 (Studley), 2010
1) There are suspicions that the actual yield strength of steel rods manufactured by a certain company is below the advertis

ENGM2032, Applied Probability and Statistics
Winter 2010
Assignment #2
Due: Mon Jan 18 (Sexton), Tuesday Jan 19 (Studley), 2010 1) Cell phones have unique identifying codes that telephone providers use to identify and locate the caller. Unfortunately, the

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #3
Due: Tuesday, October 11, 2011
1) At a particular intersection, the probability that the trafc lights are functioning properly is 0.95. If
the trafc lights are functioning properly, the

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #6
Due: Tuesday, November 8, 2011
1) A company operates a network of 150 computers. While performing a certain task, computers
generate data. The amount of data generated by each computer i

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #9
Due: Tuesday, Dec 6, 2011
1) The manufacturer of a certain chemical claims that the amount of the impurities in the chemical
does not exceed 4%. You, however, are suspicious about this c

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ENGM2032, Applied Probability and Statistics
Fall 2015
Assignment #3
Due: Thursday, Oct 8, 2015
1) At a particular intersection, the probability that the trafc lights are functioning properly is 0.95. If
the trafc lights are functioning properly, the prob

ENGM2032, Applied Probability and Statistics
Assignment #5: Answers to Some Questions
Contact gordon.fenton@dal.ca if you find any errors with these answers.
1) a) 20
b) 0.2062
c) 0.6242
d) 5
e) 0.08192
f) 0.0604
2) a) 5
b) 2.179
c) 0.9941
d) 0.0002072
3)

ENGM2032, Applied Probability and Statistics
Fall 2016
Assignment #1: Solutions
1) The sample means, standard deviations, and medians (in l/100 km) of observed fuel consumptions for both cars are summarized in the following table:
Car A
Car B
a)
b)
Mean,

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #2
Due: Tuesday October 4, 2011
1) A certain software package is password-protected. A password is six-character-long. How
many different passwords are possible if
a) a password is lower-ca

ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #8
Due: Tuesday, Nov 29, 2011
1) The performance of a yogurt dispenser is investigated. The target amount for which the
dispenser is calibrated is 50 ml. However, 25 measurements of the act

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ENGM2032, Applied Probability and Statistics
Fall 2011
Assignment #1
Due: Tuesday, September 27, 2011
1) The fuel economy of two small cars is being studied by driving 15 of each in different conditions
and recording the fuel consumed. The resulting fuel

ENGM2032, Applied Probability and Statistics
Answers to Midterm Practice Problems
1) a) 5,040
b) 40,320
c) 2/7
2) a) 0.35
b) 0.1
c) no
3) a) 0.48
b) 0.95
c) 0.9519
4) 0.5
5) a) 0.006
b) 0.9859
6) 0.2; 8.8
7) a) 59; 9
b) 1
Fall 2011

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ENGM2032, Applied Probability and Statistics
Fall 2014
Assignment #9: Solutions
1) We have concerns about the amount of impurities, and we want to see if the data supports our
concerns. So we assume that the manufactured chemical is fine unless we can pro

ENGM2032, Applied Probability and Statistics
Fall 2016
Assignment #4
Due: Thu Oct 20, 2016
1) Four cards are dealt from a shuffled deck of 52 cards. Let X count the number of spades
appearing in the four dealt cards.
a) What is the probability mass functi

ENGM2032, Applied Probability and Statistics
Fall 2016
Assignment #3: Solutions
1) Let S be the event that the company sells its products online.
Let H be the event
that the company
experiences
at least
one hacking attack a day.
We are given: P S = 0.

ENGM2032, Applied Probability and Statistics
Fall 2016
Assignment #2: Solutions
1) a) n = 108
b) n = 10 9 8 3 = 10 P8 = 1, 814, 400
c) n = (10 9 8 7) (26 25 24 23) = 10 P4 26 P4 = 1, 808, 352, 000
d) If we know the first, second, fourth, and seventh chara

ENGM2032, Applied Probability and Statistics
Fall 2016
Assignment #3
Due: Thu Oct 6, 2016
1) Assume that 70% of companies that maintain a website sell their products online. It is estimated that
80% of the companies that offer online sales of products exp