Answer:
r⁶
Step-by-step explanation:
Cancel the common factors or r⁹ and r³
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
Answer:
I believe it would be 1
Step-by-step explanation:
Answer:
Let X be the event of feeling secure after saving $50,000,
Given,
The probability of feeling secure after saving $50,000, p = 40 % = 0.4,
So, the probability of not feeling secure after saving $50,000, q = 1 - p = 0.6,
Since, the binomial distribution formula,
Where, 
If 8 households choose randomly,
That is, n = 8
(a) the probability of the number that say they would feel secure is exactly 5
(b) the probability of the number that say they would feel secure is more than five
(c) the probability of the number that say they would feel secure is at most five
