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C O www.webassign.net/web/Stud nt/Assignment-Responses/submitt?de 15826244 Apps Bookmarks GUITAR TABS AND C D Make a Payment 3 DS Courses lackboard Rashid, Umer D matlab. practical-in D Members Area wept D virginia Community C M Inbox r24ieenr (b) he selected review was submitted in ward format, what are the posterior probabilities of it being short, medium, or long? Round your answers to three decimal places.) Short medium ong Need Help 7. o -4 points D Eo71, ono Submission used My Notes Ask Your An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the eve that the Asian project is successful and 3 be the event that the European project is successf Suppose that A and B are independent events with PNA) 0.4 and POB) 0.8. a) If the Asian project is not successful, what is the probability that the European Project is also not successful? Explain your reasoning. O Since the events are not 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 independent, then A and B are independent. O Since the events are 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.) Need Help? t

Explanation / Answer

Q 7 (A) Here events A and B are independent events so

where P(A) = when Asian Project is successful = 0.4 and P(B) = when European Project is successful = 0.8

P ( European Project is not successful ) = P'(B) = 0.2

P ( Asian Project is not successful) = P'(A) = 0.6

Both events are independent so Probability of joint success = P(A) * P(B) = 0.4*0.8 = 0.32

so P ( that european project is not succeful if asian project is not successful) = 0.6*0.2/0.6 = -/2

so reasoning for that is since the events are independent, their complimentry events A' and B' are also independent

so P ( european project unsuccessful if asian project successful) = 0.2

(b) Probability that at least one of the projects is successful = 1- P ( none of the project is successful)

= 1- 0.2*0.6 = 0.88

(c) It is given that atleast one of the project is successful Probability of that = 0.88

Probability that only Asian project is successful = P(A) * P'(B) = 0.4 * 0.2 = 0.08

so probability that only asian project is successful when atleast one of the project is successful = 0.08/0.88 = 0.091

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