(c)2015 Second Wind Productions, LLC
You have, at most, $65,000 to invest in just one of 5 possible projects defined below; based strictly on IRR (see PA for forma
Pr($)
25%
25%
25%
25%
S=
Project A
Project B
Project C
$50,000
$45,000
$60,000
$ (Return)
$
Question 1:
Here are the probabilities that you will need for this first problem set; watch how you display your
answers, and remember to include the percent sign at the end of each value.
Again, expressing your answer as a percentage to one decimal place
3.6
Determinants
We said in Section 3.3 that a 2 2 matrix a b is invertible if and only if its
cd
determinant, ad bc , is nonzero, and we saw the determinant used in the formula for the
inverse of a 2 2 matrix. In this section we see how to compute the de
3.6
Determinants
We said in Section 3.3 that a 2 2 matrix a b is invertible if and only if its
c d
determinant, ad bc, is nonzero, and we saw the determinant used in the formula for the
inverse of a 2 2 matrix. In this section we see how to compute the de
MAT 211 Mathematics for Business Analysis
Fall 2015
Class number, Days, Times, and Place: 71674, TuTh 10:30am-11:45am, PSA 308
Instructor: Igor Fulman Office: ECA 210 Office Hours: MWF 10:00-11:30, TuTh 12:00-1:15pm
E-Mail: ifulman@mathe41.la.asu.edu
Cour
Extreme Values: Boundaries and the
Extreme Value Theorem
In our discussion of maxima and minima of functions of a single variable in Section
12.1, we saw that extrema frequently occurred at endpoints of the domain. To generalize
this idea to functions of
8.3B
Extreme Values: Boundaries and the
Extreme Value Theorem
In our discussion of maxima and minima of functions of a single variable in Section
12.1, we saw that extrema frequently occurred at endpoints of the domain. To generalize
this idea to function
Fall2014
Internship Posting Analysis
Name: AlyssaAbramson
Each of the questions below is worth 5 points, so dont
forget to answer all parts of the question in complete
sentences and write your answers legibly. Type up your
answers, if requested by the fac
MAT211: Written Assignment #7
NAME_
1. Find the constant k, where () = (4 2 ), defined on [0, 2], that makes f(x) a probability
density function.
2. The yearly demand for gasoline in Gotham City is described by the probability density
function () = 0.41 0
MAT21 1 : Written Assignment #2 NAME: A n 5 WCrS
1. Find the critical points and classifythemusing the 2“d derivative test.
1 3
Z =f(X.Y) = 5963/2 —§x2 — 33/2
Part 1 — Compute fist derbatives and ﬁnd the cr'ﬁcal points.
®{?XCXIY): 3x: 0 Cfl‘ut.’ d5
Q) ﬁ
section 1.1.3: Probability 101
Begs the question, which came first: Probability or Statistics?
o Well, probability came out of one of the oldest forms of entertainment:
Gambling. The earliest known works on the subject were by Italian
mathematician Girola
section 1.1.4: Frequency to probability Distributions
Frequency is simply the rate at which something occurs, and is often reported
in fractional form, e.g., miles per hour (miles/hour, MPH). Another way to look at
frequency is as the (instantaneous) slop
P
Calculus Applied to
Probability and Statistics
Case Study: Creating a Family Trust
P.1 Continuous Random
Variables and
Histograms
P.2 Probability Density
Functions: Uniform,
Exponential, Normal,
and Beta
You are a nancial planning consultant at a neighb
MAT 211 Mathematics for Business Analysis
Spring 2016
Class number: 17174
Friday Syllabus
Days and times: noon-1:15 pm
Place: Pablo 105
Instructor: Jay Abramson
Office: ECA 204
Office Hours: MF 1:30-2:20 pm
E-Mail: jabramso@asu.edu
Phone: 480-965-7375 do
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Type in the formulae in their applicable rows along Column L and then use
equals signs (=) to transfer the values to the remaining columnar cells.
Then format each column's values per its top header instructions.
.as a
Question 1:
Here is the rectangular probability distribution from Section 1.2.5. Answer each of the probability
questions in the space provided for each. Remember to watch your rounding and your formatting.
Pr(2 < x < 3) =
Type: Fill In The Blank
Points A
(1 of 10)
Which of the following is a correct formula?
ROI = 1 - IRR
ROI = IRR - 1
IRR = 1 - ROI
IRR = ROI 1
None of the above.
Submit Answer Skip Question I Am Finished
(2 of 10)
An IRRs distributions possible outcome probabilities sum to 101%; what do w
Your score on this attempt: 5 out of a possible 5 (100.0%)
Graded Score: 5 out of a possible 5 (100.0%)
Completion Time: 3 minutes 21 seconds
Question Results
Question 1:
As a percentage to one decimal place, Pr(D) =
Type: Fill In The Blank
Points Awarded
Question Results
Question 1:
A
B
C
D
Red
14
12
6
4
36
Yellow
47
36
22
9
114
Blue
8
44
36
12
100
69
92
64
25
250
A
B
C
D
Red
14
12
6
4
36
Yellow
47
36
22
9
114
Blue
8
44
36
12
100
69
92
64
25
250
As a percentage to one decimal place, Pr(Yellow) =
Type: Fil
Question Results
Question 1:
Having an equal opportunity for a particular outcome is a basic definition for:
Type: Multiple Choice
Points Awarded: 1/1
Your Answer(s):
Fairness
Question 2:
If the probability for a certain continuous data events outcome is
Question Results
Question 1:
If p = 36%, then the best probability distribution to use to model our system and make predictions
about it is:
Type: Multiple Choice
Points Awarded: 1/1
Your Answer(s):
The Binomial Distribution
Question 2:
For which of the f
In the lesson notes, we used
as an example of:
Type: Multiple Choice
Points Awarded: 1/1
Your Answer(s):
Asymptotes
Question 2:
Which of the following is a tailed distribution?
I
I
I
I
The
The
The
The
Binomial
Normal
Poisson
Exponential
Type: Multiple Cho
An incandescent light bulb being either on or off.
Type: Multiple Choice
Points Awarded: 1/1
Your Answer(s):
Discrete
Question 2:
Stock prices.
Type: Multiple Choice
Points Awarded: 1/1
Your Answer(s):
Continuous
Question 3:
How well you believe that you
Question 1:
In the context of this course, Pr(getting what you want, expect, or need) = ?
Type: Multiple Choice
Points Awarded: 1/1
Your Answer(s):
p
Question 2:
In the context of this course, Pr(~getting what you want, expect, or need) = ?
Type: Multiple
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f ( x) Ax 6 Bx 5 Cx 4 Dx 3 Ex 2 Fx G
You must
use
these
x
-3
-2
-1
1
2
3
4
Fill in the C-matrix per the PA videos.
6
5
4
A
729
64
1
1
64
729
4096
B
-243
-32
-1
1
32
243
1024
C
81
16
1
1
16
81
256
3
[C]
D
-27
-8
-1
1
8
GEN101: SP16: QZ1.1
Answer each of the following questions using the format provided to you. Look in the
posted policies & procedures document (PnP_SP16_JWUlrich.pdf) for answers; you must
define from which section you found your answers (see exemplar), a
section 2.1.1: Systems of Linear equations
What makes a linear function, well, linear?
Consider this well-known linear function formula:
y mx b
How many variables are in the above formula?
o If you said 4, sorry, you are incorrect
.
o There are only TWO v
section 2.1.2: Matrices 101
In each of the cases that we covered and discussed above, what was it that
we actually manipulated?
o That is, had we used P and Q as variables instead of x and y, would we
have come up with different solutions?
o Hopefully, yo
section 1.2.2: Bayesian Probability
The Reverend Thomas Bayes (c. 1702-1761) was an English theologian (a
nonconformist Presbyterian minister) and, more importantly for us, a
mathematician. Bayes Theorem was posthumously named for him by the Royal
Academy
section 1.1.1: Mathematic Symbols
Mathematics is an iconic (visually symbolic) language. Consequently, there
are a variety of symbols that we will use throughout this course, and we need to
define these now so that you can make sense of what we write late
section 1.1.2: Data & event Types
The basic building blocks in mathematical analyses are data.
Without data, there is nothing to analyze. Understanding, then, the
kinds of data we have can help us to determine how to analyze and therefore
understand/inter