
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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![2. Complete a tree diagram with two stages-where the first stage has outcomes A and B and the second stage
has outcomes X and Y-given the following information: Pr[A] = 2/3, Pr[X|A] = 1/7, Pr[B[X] = 49/58,
Pr[Y|B] = 2/9. (Be careful! You do not need all of the preceding information to fill out the tree. Make
sure you know which probabilities tell you something on the tree and which ones do not!)
Answer the following questions:
(a) What is Pr[Y]?
(b) What is Pr[Y|A]?
(c) What is Pr[A|Y]?](https://content.bartleby.com/qna-images/question/46f2e9fa-ab74-4ca7-bd02-7053ab3372bf/582d20ee-a170-4b38-a78b-93a8b37b76a8/u3qpo7_thumbnail.jpeg)
Transcribed Image Text:2. Complete a tree diagram with two stages-where the first stage has outcomes A and B and the second stage
has outcomes X and Y-given the following information: Pr[A] = 2/3, Pr[X|A] = 1/7, Pr[B[X] = 49/58,
Pr[Y|B] = 2/9. (Be careful! You do not need all of the preceding information to fill out the tree. Make
sure you know which probabilities tell you something on the tree and which ones do not!)
Answer the following questions:
(a) What is Pr[Y]?
(b) What is Pr[Y|A]?
(c) What is Pr[A|Y]?
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- Choose an American adult at random. The probability that you choose a woman is 0.52. The probability that the person you choose has never married is 0.24. DRAW A TREE DIAGRAM to find the probability that the person you choose is a woman who has been married.arrow_forwardBy rewriting the formula for the multiplication rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B A) = Use the information below to find the probability that a flight P(A) departed on time given that it arrives on time. The probability that an airplane flight departs on time is 0.89. The probability that a flight arrives on time is 0.87. The probability that a flight departs and arrives on time is 0.83. The probability that a flight departed on time given that it arrives on time is (Round to the nearest thousandth as needed.)arrow_forwardPlease complete this worksheet. Please also show your work, as I am confused about the steps to complete these problems. Thankyou!arrow_forward
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