2.1 #12: Let V be the event that a computer contains a virus, and let W be the event that a computer
contains a worm. Suppose () = 0.15, () = 0.05 and ( ) = 0.17.
a. Find the probability that the computer contains both a virus and a worm.
b. Find the prob
Statistics 412: Homework #4b
Due Tuesday October 04
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to
i
Statistics 412: Homework #5a
Due Tuesday October 11
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to
i
Statistics 412: Homework #1a
Solutions to Assigned Problems
(47 points total)
1. Section 1.1, Exercise 2 [1 point: 0.5 point answer, 0.5 point reason]
(iii) It is very unlikely that students whose names happen to fall at the top of a page in the
phone boo
Statistics 412: Homework #1
Solutions to Assigned Problems
(42 points total)
1. Section 1.1, Exercise 2 [1 point: 0.5 point answer, 0.5 point reason]
(iii) It is very unlikely that students whose names happen to fall at the top of a page in the
phone book
Statistics 412: Homework #2
Solutions to Assigned Problems
(44 points total)
1. Section 2.1, Exercise 12 [3 points: 1, 1, 1]
a. P(V W ) P(V ) P (W ) P (V W ) 0.15 0.05 0.17 0.03
b. P(V c W c ) 1 P(V W ) 1 0.17 0.83
c. We need to find P(V W c ) . Now, P(V
STATS 412 COURSE NOTES CHAPTER 2
PROBABILITY
Section 2.1 Basic Ideas
Definition: An experiment is a process that results whose outcome is uncertain, but it is known
that it will be one of several outcomes.
Definition: The sample space, denoted S, of an ex
Stats 412
Exam 1
Winter 2015
Name: _SOLUTIONS_
There are a total of 45 points on this exam. You cannot get full credit unless you show your
work. Partial credit will be granted based on work shown. Make sure to show formulas
where appropriate. Please clea
STATS 412 COURSE NOTES CHAPTER 1
DESCRIPTIVE STATISTICS
Probability and Statistics
Statistics is about the relationship between populations and samples.
Population-Oriented Definitions
A population is a well-defined collection of objects.
Examples:
A. (Ex
Statistics 412: Homework #3
Solutions to Assigned Problems
(24 points total)
1. Exercise 2.60 [8 points: 4, 4]
Let D = cfw_discovered and L = cfw_has locator equipped. We are told P(D) = 0.70, P(L|D) = 0.60, and P(L|D)
= 0.90. From these probabilities, we
Statistics 412: Homework #5 Revised
Solutions to Assigned Problems
(24 points total)
1. Exercise 4.2 [4 points: 1, 1, 1, 1]
Note: This exercise can be solved with or without calculuseither is fine.
We know that X Uniform[5, 5], so f ( x)
1
for 5 x 5 (0 o
Statistics 412: Homework #6 Revised
Solutions to Assigned Problems
(23 points total)
1. Exercise 4.60 [4 points: 2, 2]
a. We are told that X Exp( ) where 0.01386 . The probability that the distance is at most
100 km is
P( X 100)
100
0
We can use the cdf,
Statistics 412: Homework #1
Solutions to Assigned Problems
(22 points total)
Revised Exercise 1.28 [6 points: 2 points per part]
The following is JMP output for parts (a) and (b):
1.
a. The histogram is preferable to the boxplot. The boxplot indicates tha
Statistics 412: Homework #5b
Due Tuesday October 11
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to
i
Statistics 412: Homework #4a
Due Tuesday October 04
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to
i
Statistics 412: Homework #3a
Due Tuesday September 27
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to
Statistics 412: Homework #3a
Due Tuesday September 27
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to
Statistics 412: Homework #1b
Due Tuesday, September 13
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure t
Statistics 412: Homework #2a
Due Tuesday, September 20
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure t
1.1 #2: If you wanted to estimate the mean height of all the students at a university, which one of the
following sampling strategies would be best? Why? Note that none of the methods are true simple
random samples.
i. Measure the heights of 50 student
Statistics 412: Homework #1a
Due Tuesday, September 13
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure t
Statistics 412: Homework #2b
Due Tuesday, September 20
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure t
Statistics 412: Homework #4b
Due Tuesday October 04
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to
i
Statistics 412: Homework #4a
Due Tuesday October 04
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to
i
Statistics 412: Homework #3b
Due Tuesday September 27
You must show all work when answering the questions. If the answer to the question is a calculation,
be sure to write down the formula you used or describe how you made the calculation. Also be sure to