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 idling. Event B is that at least two plants generate electricity. Likelihood of the outcomes that Plant X always produce electricity is 44%. If P(AUB)' = 3%, and the likelihood of the outcomes in event A are equally likely, compute the probability of the event B? Solution: P(AUB) = = = P(A) + P(B) − P(AB) - XYZ 000 XYZ 100 010 101 001 110 011 111
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 idling. Event B is that at least two plants generate electricity. Likelihood of the outcomes that Plant X always produce electricity is 44%. If P(AUB)' = 3%, and the likelihood of the outcomes in event A are equally likely, compute the probability of the event B? Solution: P(AUB) = = = P(A) + P(B) − P(AB) - XYZ 000 XYZ 100 010 101 001 110 011 111
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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![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 idling.
Event B is that at least two plants generate electricity. Likelihood of the outcomes that Plant X always produce electricity is 44%. If P(AUB)' =3%,
and the likelihood of the outcomes in event. are equally likely, compute the probability of the event B? Solution:
P(AUB) = P(A) + P(B) – P(AB)
XYZ
000
010
001
011
XYZ
100
101
110
111](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed7b56a3-2e66-4877-848b-86d54658cb11%2F6322f454-5f3c-45d0-ac57-460fcc85f519%2F6rjtib_processed.png&w=3840&q=75)
Transcribed Image Text: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 idling.
Event B is that at least two plants generate electricity. Likelihood of the outcomes that Plant X always produce electricity is 44%. If P(AUB)' =3%,
and the likelihood of the outcomes in event. are equally likely, compute the probability of the event B? Solution:
P(AUB) = P(A) + P(B) – P(AB)
XYZ
000
010
001
011
XYZ
100
101
110
111
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