Guillermo Furniture Store 1
Guillermo Furniture Store Concepts Paper
Guillermo Furniture Store 2
Guillermo Furniture Store Concepts Paper Guillermo Navallez has made furniture for years; he is the owner of Guillermo Furniture (GF) Store located in Sonora,
made up in the early 19th century from the Greek
word for curvature.) Kurtosis is not a particularly
important concept, but I mention it here for completeness.
It turns out that the whole distribution for X
is determined by all the moments, that is differ
Recitation 4
1. Exercise 3.50: If the joint probability density of X and Y is given by
(
24xy
for 0 < x < 1, 0 < y < 1, x + y < 1
f (x, y) =
0
elsewhere
find P(X + Y < 12 ).
Solution:
The blue shaded region is the set of points (x, y)s for which f (x, y)
Statistics 2013 Exercise book 7 Expectation
Expectation of random variables
Problem 1:
Let X have density
(
f (x) =
x+2
18
0
2 < x < 4
else.
Find E(X), E[(X + 2)3 ], and E[6X 2(X + 2)3 ].
Problem 2:
A bowl contains 10 chips, of which 8 are marked $2 each
PROBABILITY
Classical Probability Concept
If there are N equally likely possibilities, of which one must occur and N are
regarded as favourable, or as a success, then the probability of a success is
given by the ratio n/N.
Example:
What is the probability
Department of Economics
ECON 3031 (EC33P) - Probability Distribution Theory
Problem Set 1 Basic Concepts
1.
Use Venn Diagrams to verify that:
a. (AB)C is the same event as A(B C);
b. A(B C) is the same event as (AB)(AC);
c. A(B C) is the same event as (AB
Department of Economics
ECON 3031 - Probability Distribution Theory
Problem Set 2
Probability Distribution & Probability Density
Functions
1.
When the health department tested private wells in a county for two impurities commonly
found in drinking water,
ECON 3037 PP#2
1. Use the simplex method to solve the following LP:
Max
s.t
z=2 x1 + x 2
3 x1 + x 2 6
x 1+ x 2 4
x 1 0, x 2
2. For the following LP,
x1
and
urs
x2
are basic variables in the optimal tableau.
Determine the optimal tableau. Write in tableau
The University of the West Indies
SEMESTER I
SEMESTER II
SUPPLEMENTAL/SUMMER SCHOOL
Examinations of December
/ April/May
/ June
2011
_
Originating Campus:
Mode:
Cave Hill
Mona
On Campus
By Distance
St. Augustine
Course Code and Title: ECON3031: PROBABILIT
UNIVERSITY OF THE WEST INDIES
DEPARTMENT OF ECONOMICS
ECON 3037 OPERATIONS RESEARCH I
PROBLEM PAPER #2
1. Use the big M simplex method to solve the following LPs.
(i)
Max
s.t.
(ii)
Min
s.t.
(iii)
(iv)
(v)
z=3 x 1+2 x 2
x 1+ x2 3
2 x1 + x2 4
x 1 + x 2=3
x1
ID#: _
The University of the West Indies
SEMESTER I
SEMESTER II
SUPPLEMENTAL/SUMMER SCHOOL
Examinations of December
/ April/May
/ June
2010
_
Originating Campus:
Mode:
Cave Hill
Mona
On Campus
By Distance
St. Augustine
Course Code and Title: ECON3031 (EC3
The University of the West Indies
SEMESTER I
SEMESTER II
SUPPLEMENTAL/SUMMER SCHOOL
Examinations of December
/ April/May
/ June
2010
_
Originating Campus:
Mode:
Cave Hill
Mona
On Campus
By Distance
St. Augustine
Course Code and Title: ECON3031: PROBABILIT
A Binary logistic model was fitted to the data sets to test the research hypothesis regarding the factors
that influence a person ability to own a home using Jamaica Survey of Living Conditions data sets for
2002, 2007 and 2010. In 2002 our model includes
Welfare Economics
Consumer, Producer, and Social Surplus
Pareto Optimality
Welfare Analysis of a Price Ceiling
Welfare Analysis of a Price Floor
Nobody Buys the Surplus
Government Buys the Surplus
Welfare Analysis of a Monopoly
Welfare Analysis of Tax
Oligopoly
Characteristics of Oligopolistic Markets
Measuring market concentration: Four-firm
concentration ratios
Sources of barriers to entry in oligopolistic markets
The Cournot Model
The Stackelberg Model
The Bertrand Model
Types of Market Struct
Game Theory
Prisoners Dilemma
Dominant Strategies
Maximin Strategies
Mixed Strategies
Repeated Games
Components of a Game
Players
Example: Coke and Pepsi
Components of a Game
Players
Example: Coke and Pepsi
Strategies for Each Player
Example: Spend a l
TABLE 12(a). 10 PER CENT POINTS OF THE F-DISTRIBUTION
The function tabulated is F (P) = F(P[V1, v2) deﬁned by the
equation
P _M wwwsz
2
F§v,—1
EB ‘ rem) rel-2) ”‘ dF
F(P)(V2 + VIF)!(V‘+V‘) ,
for P = 10, 5, 2-5, 1, 0-5 and 0-1. The lower percentage
points,