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
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,