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School of Mathematics
MATH1715: Introduction to Probability
Session 2008/2009
Homework III
•
The work is handed out in
Lecture 10
(i.e., on Thursday/Friday 30/31 October 2008) and should be
handed in to your tutor by
Lecture 14
(i.e., by Thursday/Friday 13/14 November 2008).
•
Please staple your work if necessary. No ﬁles or folders, please!
•
All the questions
H3.1 – H3.5
count towards continuous assessment.
•
You can collaborate with other students, but the work that you hand in must be done
independently
.
Serious consequences will result if copying is detected.
H3.1.
Let
X
be a random variable with probability mass function
p
X
(
x
)
given by
x

3

1
0
1
2
3
5
8
p
X
(
x
)
0
.
1
0
.
2
0
.
15
0
.
2
0
.
1
0
.
15
0
.
05
0
.
05
(a) Verify that
p
X
(
x
)
determines a probability distribution.
(b) Evaluate the probabilities
•
P
(1
≤
X
≤
4)
;
•
P
(
X
is negative
)
;
•
P
(
X
≥
3

X >
0)
.
(c) Find the probability mass function
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This note was uploaded on 09/24/2009 for the course IE 221 taught by Professor Georgewilson during the Spring '08 term at Lehigh University .
 Spring '08
 GeorgeWilson

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