STOR 435
Handout 8
Sections 4.74.9
Note that we will be covering selected topics from these sections. The pages
we will be covering are: Section 4.7: 143146; Section 4.8: 155157; 160163;
Section 4.9.
Example 1
(Exercise 4.58 (c); Poisson distribution)
.
Compare the Poisson
approximation with the correct binomial probability when
n
= 10
,p
=
.
1 and
you are trying to calculate
P
(
X
= 0).
Example 2
(Exercise 4.65(a))
.
Each of 500 soldiers in an army company inde
pendently has a certain disease with probability 1
/
(10)
3
. This disease will show
up in a blood test, and to facilitate matters, blood samples from all 500 soldiers
are pooled and tested. What is the (approximate) probability that the blood
test will be positive ( that is, at least one person has the disease)?
Example 3
(Exercise 4.55; Poisson distribution)
.
A certain typing agency em
ploys 2 typists. The average number of errors per article is 3 when typed by the
Frst typist and 4.2 when typed by the second. If your article is equally likely
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 Spring '11
 Shakar
 Probability theory, Binomial distribution, Geometric distribution, fair dice, car production

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