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B Find the probabilities in Problems 17-22 by referring to the fol- lowing tree diagram and using Bayes' formula. Round answers to three decimal places. 17. P(U|C) Start .6 U V W .4 .6 .5 .2 .8 C' C C' C C' 18. P(V|C')

B Find the probabilities in Problems 17-22 by referring to the fol- lowing tree diagram and using Bayes' formula. Round answers to three decimal places. 17. P(U|C) Start .6 U V W .4 .6 .5 .2 .8 C' C C' C C' 18. P(V|C')

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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help with #18 please

**Bayes' Theorem and Probability** **Instructions:** Find the probabilities in Problems 17–22 by referring to the following tree diagram and using Bayes’ formula. Round answers to three decimal places. --- **Tree Diagram Explanation:** The tree diagram starts at a point labeled "Start" and branches into three possible paths: - **U** with a probability of 0.1 - **V** with a probability of 0.6 - **W** with a probability of 0.3 Each of these paths further branches into two outcomes: - For **U**: - **C** with probability 0.4 - **C'** with probability 0.6 - For **V**: - **C** with probability 0.5 - **C'** with probability 0.5 - For **W**: - **C** with probability 0.2 - **C'** with probability 0.8 --- **Problems to Solve:** 17. \( P(U|C) \) 18. \( P(V|C') \) 19. \( P(W|C) \) 20. \( P(U|C') \) 21. \( P(V|C) \) 22. \( P(W|C') \) Use Bayes’ formula to find these probabilities and round them to three decimal places.
Transcribed Image Text:**Bayes' Theorem and Probability** **Instructions:** Find the probabilities in Problems 17–22 by referring to the following tree diagram and using Bayes’ formula. Round answers to three decimal places. --- **Tree Diagram Explanation:** The tree diagram starts at a point labeled "Start" and branches into three possible paths: - **U** with a probability of 0.1 - **V** with a probability of 0.6 - **W** with a probability of 0.3 Each of these paths further branches into two outcomes: - For **U**: - **C** with probability 0.4 - **C'** with probability 0.6 - For **V**: - **C** with probability 0.5 - **C'** with probability 0.5 - For **W**: - **C** with probability 0.2 - **C'** with probability 0.8 --- **Problems to Solve:** 17. \( P(U|C) \) 18. \( P(V|C') \) 19. \( P(W|C) \) 20. \( P(U|C') \) 21. \( P(V|C) \) 22. \( P(W|C') \) Use Bayes’ formula to find these probabilities and round them to three decimal places.
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