1. Introduction. This paper discusses a special form of positive dependence.
Positive dependence may refer to two random variables that have
a positive covariance, but other definitions of positive dependence have
been proposed as well; see [24] for an overview. Random variables X =
(X1, . . . , Xd) are said to be associated if cov{f(X), g(X)} ≥ 0 for any
two non-decreasing functions f and g for which E|f(X)|, E|g(X)|, and
E|f(X)g(X)| all exist [13]. This notion has important applications in probability
theory and statistical physics; see, for example, [28, 29].
However, association may be difficult to verify in a specific context. The
celebrated FKG theorem, formulated by Fortuin, Kasteleyn, and Ginibre in
[14], introduces an alternative notion and establishes that X are associated if
∗
SF was supported in part by an NSERC Discovery Research Grant, KS by grant
#FA9550-12-1-0392 from the U.S. Air Force Office of Scientific Research (AFOSR) and
the Defense Advanced Research Projects Agency (DARPA), CU by the Austrian Science
Fund (FWF) Y 903-N35, and PZ by the European Union Seventh Framework Programme
PIOF-GA-2011-300975.
MSC 2010 subject classifications: Primary 60E15, 62H99; secondary 15B48
Keywords and phrases: Association, concentration graph, conditional Gaussian distribution,
faithfulness, graphical models, log-linear interactions, Markov property, positive
Part A
Let x represent the number of coworkers who prefer the talk news radio.
% prefer the talk news radio,
% will be the percentage that corresponds to coworkers who do not prefer the talk news radio.
Part B
We apply ratio to find x.
Hence number that corresponds to 65% will be greater than 28.
If more, less will divide.
This implies that,
Hence 52 of her coworkers prefer the local news talk station.
Answer:
lines b and c are perpendicular
Step-by-step explanation:
Use slope
slope for parallel is the same
slope for perpendicular is negative reciprocal
line a slope- 1-3/-2-0 is -2/-2 or 1
line b slope- 1-4/4-6 is -3/-2 or 3/2
line c slope- 3-1/1-4 is 2/-3 or - 2/3
none are the same so none are parallel
- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular
Yes, answer choice D is correct.Answer now!
Answer:
In the given options, 4+5 = 5+4 shows the best commutative property.
Step-by-step explanation:
One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.
Commutative property can be applied on addition, subtraction and multiplication.
<u>Commutative property of Addition:</u>
Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a
In the given options, 4+5 = 5+4 shows the best commutative property.
