Homework Set October 31, 2014
Solutions
Graded problems are in red
Chapter 5
Problem 15 (a) P cfw_X > 5 = P
X10
6
(b) P cfw_4 < X < 16 = P
1 = 0.6827
(c) P cfw_X < 8 = P
(d) P cfw_X < 20 = P
(e) P cfw_X > 16 = P
510
=
6
X10
1 < 6
>
5
1 6 =
5
6
= 0.7977
<
5-Paragraph Opinion Writing
Template
Introductory paragraph:
Opinion about your topic, or answer to a question
3 reasons to support your opinion
Body Paragraph 1:
transition word, topic sentence relating to the first of your 3 reasons above
transition
Essay Point Form Outline
Introduction
1.
A general statement about your topic: (there is no mention yet of the book or any characters)
_
2.
A statement which refers your topic to society: (there is no mention yet of the book or any characters)
_
3.
Refer
Enders Game Essay: Belonging
Belonging is the idea of being accepted by a group or community. Belongingness is a human
emotional need to be an accepted member of a group as Amanda Todd wants to belong to a
group of popular individuals at her school but in
Detoxifying soil that is contaminated with Copper (II) Oxide
Part A: Collect Cu2+ (aq)
1.
2.
Put on your chemical safety goggles and lab apron.
Measure a 2.0 g sample of contaminated soil (sand and copper (II) oxide) into a
piece of paper.
3. Measure 40 m
Detoxifying soil that is contaminated with
Copper (II) Oxide
Part A: Collect Cu2+ (aq)
Part B: Recovering Cu(s) (Method 1)
13. Use a 100 or 250 mL beaker
14. Take and measure a sample of iron filings and put it into the beaker.
15. Take the solution in on
Ender's Game Essays
Set 1: 1-17
1. Upon hearing what the summer reading book was, a few friends of mine suggested I read
Enders Game. I was surprised and a bit intrigued that this years reading book was Enders
Game. Im not much one for sci-fi books, but I
Homework Set October 24, 2014
Solutions
Graded problems are in red
Chapter 5
Problem 1 (a) We have 1 =
c=
1
1
c(1 x2 )dx = cx 1
x2
3
|1 =
1
4
c,
3
so that
3
.
4
2
x
2
1
3
3
(b) We have 1 f (y)dy = 4 y 1 y3 |x = 2 + 4 x 1 x
1
3
x 1. Hence,
0
x < 1,
2
F (x
Homework Set September 26, 2014
Solutions
Graded problems are in red
Chapter 3
Problem 20 (a) P (F |C) =
P (F C)
P (C)
=
.02
.05
= 2.
5
(b) P (C|F ) =
P (F C)
P (F )
=
.02
.52
=
1
.
26
Problem 23 (a) Let W be the event that the ball selected urn II is whi
Homework Set November 21, 2014
Solutions
Graded problems are in red
Chapter 7
Problem 5 If (X, Y ) is the location of the accident, then X and Y are uniform
3
random variables on ( 2 , 3 ). Let D = |X| + |Y |. Then
2
E cfw_D = E cfw_|X| + E cfw_|Y | = 2E
NAME
MATH 461 - D13, Test 1, Fall 2014
September 29, 2014
Calculators, books, notes and extra papers are not allowed on this test
Please show all your work and explain all answers to qualify for full credit
1. (16 points) An urn contains 5 red, 7 blue and
NAME
MATH 461 - D13, Test 3, Fall 2014
December 5, 2014
Books, notes and extra papers are not allowed on this test
Please show all your work and explain all answers to qualify for full credit
1. (16 points) Suppose that X and Y are independent random vari
Homework Set October 17, 2014
Solutions
Graded problems are in red
Chapter 4
Problem 42 See part (a) of Example 6f in the book.
Problem 55
P (no errors) =
=
=
P (no errors|rst typist) P (rst typist)
+P (no errors|second typist) P (second typist)
1 30 3 4.
Homework Set August 29, 2014
Solutions
Chapter 1
Graded problems are in red
Problem 2 Each roll of one die has 6 possible outcomes. Since there are 4 rolls,
there are 64 = 1, 296 possible outcome sequences.
Problem 4 If each of the boys can play any instr
NAME
MATH 461 - D13, Test 2, Fall 2014
October 31, 2014
Books, notes and extra papers are not allowed on this test
Please show all your work and explain all answers to qualify for full credit
1. (16 points) Let X be a random variable whose distribution fu
Homework Set November 14, 2014
Solutions
Graded problems are in red
Chapter 6
Problem 27 Let X1 , X2 be exponential random variables with parameter 1 , 2 . Let
X1
Z = X2 . Note that FZ (a) = 0 if a 0. Compute FZ (a) for a > 0:
FZ (a) = P cfw_Z a = P cfw_X
Homework Set September 19, 2014
Solutions
Graded problems are in red
Chapter 2
Problem 25 Let En be the event that a sum of 5 occurs on the nth roll, and no
sum of 5 or 7 occurs on the rst n 1 rolls. There are 36 outcomes of
a single roll, and four of the
Homework Set October 10, 2014
Solutions
Graded problems are in red
Chapter 4
Problem 1 Possible values of X: 0,2,4,-1,-2,1 Probabilities:
P cfw_X = 0 =
P cfw_X = 2 =
P cfw_X = 4 =
P cfw_X = 1 =
P cfw_X = 2 =
P cfw_X = 1 =
1
2
1
2
14 =
91
2
4 2
8
1 1
=
14