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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
66.  Reconsider the credit card scenario of Exercise 47 (Section 2.4), and show that A and B are dependent rst by using the de nition of independence and then by verifying that the multiplication property does not hold.
67.  An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is success- ful. Suppose that A and B are independent events with P(A) = .4 and P(B) = .7.
a.  If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning.
b.  What is the probability that at least one of the two projects will be successful?
c.   Given that at least one of the two projects is suc- cessful, what is the probability that only the Asian project is successful?
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