Homework set 3
Section 2.3, Problem 4. Show that F = F (x) on R has at most a countable set of points of
discontinuity. Does a corresponding result hold for distribution functions on Rn .
We rst prove
1. Homework set 2
Section 1.8, Problem 1. Give an example of random variables and which are not independent but for which
E ( | ) = E.
(1)
Conside an unbiased die with seven faces labeled 3, 2, 1, 0,
1. Homework set 1
1.1. Problem 1.2. Let contain N elements. Show that the number d(N ) of dierent decompositions of is given by the formula
d(N ) = e1
(1)
kN
.
k!
k =0
First prove the following relati
UNIVERSITY OF CENTRAL FLORIDA
Department of Mathematics
Spring 2012
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MAP6238.01 Measure and Probability