If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning. Since the events are independent, then A′ and B′ are mutually exclusive.Since the events are independent, then A′ and B′ are independent. Since the events are independent, then A′ and B′ are not independent.Since the events are not independent, then A′ and B′ are mutually exclusive. (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 successful, what is the probability that only the Asian project is successful?
If the Asian project is not successful, what is the probability that the European project is also not successful? Explain your reasoning. Since the events are independent, then A′ and B′ are mutually exclusive.Since the events are independent, then A′ and B′ are independent. Since the events are independent, then A′ and B′ are not independent.Since the events are not independent, then A′ and B′ are mutually exclusive. (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 successful, what is the probability that only the Asian project is successful?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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 successful. Suppose that A and B are independent events with P(A) = 0.5 and P(B) = 0.9.
(a)
If the Asian project is not successful, what is the probability that the European project is also not successful?
Explain your reasoning.
Since the events are independent, then A′ and B′ are mutually exclusive.Since the events are independent, then A′ and B′ are independent. Since the events are independent, then A′ and B′ are not independent.Since the events are not independent, then A′ and B′ are mutually exclusive.
(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 successful, what is the probability that only the Asian project is successful? (Round your answer to three decimal places.)
Expert Solution
Step 1
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 successful.
Suppose that A and B are independent events with and
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman