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(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.) 079 Need Help? Read it Watch Master

(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.) 079 Need Help? Read it Watch Master

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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
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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) = 0,3, (a) If the Asian project is not successful, what is the probability that the European project is also not successful? 0.7 Explain your reasoning. • Since the events are independent, then A' and B' are independent. O ince the events are independent, then A' and B' are mutually exclusive. O Since the events are independent, then A' and B' are not independent. O 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? 0.65 (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.) 0.79 Need Help? Read it Watch It Master 12:41 PM ENG 2/10/2022 DELL Esc F2 F3 F4 F5 F7 Priss F8 F12 F9 F10 F11 PriScr Irvsert Delete %23 $4 4. & + 2. 6. 9 Backspace Tab E R T. Y P aps Lock S F G K Enter B Shift Fn Alt Alt Ctrl Home End-> ron 14 5000 2-in-1 CORE
Transcribed Image Text: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) = 0,3, (a) If the Asian project is not successful, what is the probability that the European project is also not successful? 0.7 Explain your reasoning. • Since the events are independent, then A' and B' are independent. O ince the events are independent, then A' and B' are mutually exclusive. O Since the events are independent, then A' and B' are not independent. O 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? 0.65 (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.) 0.79 Need Help? Read it Watch It Master 12:41 PM ENG 2/10/2022 DELL Esc F2 F3 F4 F5 F7 Priss F8 F12 F9 F10 F11 PriScr Irvsert Delete %23 $4 4. & + 2. 6. 9 Backspace Tab E R T. Y P aps Lock S F G K Enter B Shift Fn Alt Alt Ctrl Home End-> ron 14 5000 2-in-1 CORE
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