ECO 261Sections IV&V Fall 2007
Problem Set2
Due by September 27, Thursday
1) A corporation takes delivery of some new machinery that must be installed and checked before it becomes
available to use. The corporation is sure that it will take no more than 7 days for this installation and check to take
place. Let A be the event °It will be more than 4 days before the machinery becomes available°and B the event °It
will be less than 6 days before the machinery becomes available.°
a) Describe the event that is complement of A.
b) Describe the event that is the intersection of A and B.
c) Describe the event that is the union of events A and B.
d) Are the events A and B mutually exclusive.
e) Show that (
A
\
B
)
[
(
°
A
\
B
) =
B:
f) Show that
A
[
(
°
A
\
B
) =
A
[
B:
2) a) The sample space contains 10 A±s and 6 B±s. What is the probability that a randomly selected sample set of
4 will include 2 A±s and 2 B±s?
b) The sample space contains 6 A±s and 4 B±s. What is the probability that a randomly selected sample set of 3
will include 1 A and 2 B±s?
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 '07
 EREN
 Probability, 15%, 4 days, 7 days, 6 days

Click to edit the document details