Stat 333
Spring 2009
Assignment #1
The assignment is due
Tuesday, May 26
in class. It will be posted in segments, and I will let
you know when all segments have been posted and the assignment is complete.
All problems are to be turned in. Only a random subset of Type I problems will be marked.
All Type II problems will be marked.
posted Friday, May 15:
Type I Problems:
1. exponential problem of the week: #1, page 346 of the text, 9th ed.
2. #42, page 20 of the text, 9th ed.
3. Suppose we have a sequence of independent
S
or
F
trials where the probability of
S
on the
n
th trial,
n
= 1
,
2
,
3
, . . .
, is
p
n
. Let
Y
= number of trials required to obtain the first
S
.
(i) If
p
n
= 4

n
, determine whether or not
Y
is proper. Justify your conclusion.
(ii) If
p
n
= 1

e

1
n
, determine whether or not
Y
is proper. Justify your conclusion.
4.
Let
X
1
, X
2
, X
3
, X
4
be independent identicallydistributed (i.i.d.) continuous random vari
ables. Use a simple
symmetry
argument to find
P
(
X
1
< X
2
< X
4
< X
3
).
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Chisholm
 Probability theory, probability density function, Discrete probability distribution, proper waiting time, ﬁrst message

Click to edit the document details