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%

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

See similar textbooks