This preview shows pages 1–2. Sign up to view the full content.
Econ 506, Section M
NAME:_
SOLUTION_
_____
Quiz 2B, Sept. 30, 2010
Total points: 50
I.
(
6 points)
On average six persons enter the intensive care unit at a hospital on any
single day. What is the probability that the number of people entering the intensive care
unit on a particular day is equal to 2?
Use the Poisson distribution with λ = 6.
p
(2) = .044
II.
(
8 points)
if 20 percent of the balls in a certain box are red, and if 15 balls are selected
from the box at random, with replacement, what is the probability that at least one red balls
will be obtained?
Assume Y = # of red balls obtained in 15 selection. Then Y has Binomial distribution
with p
=
.20, n
=
15.
964816
.
0
035184
.
0
1
)
1
(
0
15
1
)
0
(
1
)
1
(
0
15
0
=

=


=
=

=
≥

p
p
Y
P
Y
P
III.
(
8 points)
an experiment consists of tossing a fair die until a 6 occurs three times.
What is the probability that the process ends after exactly ten tosses with a 6 occurring on
the ninth and tenth tosses?
let
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.
 Fall '08
 Staff

Click to edit the document details