Problem 8 There are three power plants [X. Y. Z] that at any given time each one either generates electricity or idles. Event A is that plant X is always idles. Event B is that at least two plants generate electricity. All outcomes in event B are equally likely. Likelihood of the outcomes that plant X always produces electricity is 40%. If probability of P(AUB)= 93% compute the Probability of the event B? Plant Generate electricity:1; Idling:0 P(A) 60%; P(AUB)' =P(1.0.0) = 1- P(AUB) = 7%; P(ANB)=33/3=11% P(AUB) = P(A)+P(B) - P(ANB); P(B) = 4*11% -44% or ; 93% - 60% + P (B) - 11% Sample Space: all possible outcomes Y Z 0 0 1 0 60% A (AB)- XY Z 0 00 0 0 0 1 0 1 0 1 1 X 1 1 1 1 OH 1 0 1 1 B 7% 33%
Problem 8 There are three power plants [X. Y. Z] that at any given time each one either generates electricity or idles. Event A is that plant X is always idles. Event B is that at least two plants generate electricity. All outcomes in event B are equally likely. Likelihood of the outcomes that plant X always produces electricity is 40%. If probability of P(AUB)= 93% compute the Probability of the event B? Plant Generate electricity:1; Idling:0 P(A) 60%; P(AUB)' =P(1.0.0) = 1- P(AUB) = 7%; P(ANB)=33/3=11% P(AUB) = P(A)+P(B) - P(ANB); P(B) = 4*11% -44% or ; 93% - 60% + P (B) - 11% Sample Space: all possible outcomes Y Z 0 0 1 0 60% A (AB)- XY Z 0 00 0 0 0 1 0 1 0 1 1 X 1 1 1 1 OH 1 0 1 1 B 7% 33%
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
![Problem 8
There are three power plants [X. Y. Z] that at any given time each one either
generates electricity or idles. Event A is that plant X is always idles. Event B is
that at least two plants generate electricity. All outcomes in event B are equally
likely. Likelihood of the outcomes that plant X always produces electricity is
40%. If probability of P(AUB)= 93% compute the Probability of the event B?
Plant Generate electricity:1; Idling:0
P(A)=60%; P(AUB)' =P(1.0.0) 1- P(AUB) = 7%;
P(ANB)=33/3=11% P(AUB) = P(A)+P(B) - P(ANB);
P(B) = 4*11% -44% or ; 93% - 60% + P (B) - 11%
60%
A
(AB).
Sample Space: all possible outcomes
Y Z
0
O
1
0 B
O
1
X
0
0
0
0
Y Z
0
0
1
0
0
1
1
1
X
1
1
1
1
7%
33%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23f6878f-20ec-44ab-8c5d-3515bb2a2e77%2Fdbd2f323-dfee-4618-8c5f-38a1d3bd6566%2Fdgfrdl9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 8
There are three power plants [X. Y. Z] that at any given time each one either
generates electricity or idles. Event A is that plant X is always idles. Event B is
that at least two plants generate electricity. All outcomes in event B are equally
likely. Likelihood of the outcomes that plant X always produces electricity is
40%. If probability of P(AUB)= 93% compute the Probability of the event B?
Plant Generate electricity:1; Idling:0
P(A)=60%; P(AUB)' =P(1.0.0) 1- P(AUB) = 7%;
P(ANB)=33/3=11% P(AUB) = P(A)+P(B) - P(ANB);
P(B) = 4*11% -44% or ; 93% - 60% + P (B) - 11%
60%
A
(AB).
Sample Space: all possible outcomes
Y Z
0
O
1
0 B
O
1
X
0
0
0
0
Y Z
0
0
1
0
0
1
1
1
X
1
1
1
1
7%
33%
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 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