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A sports psychologist performed a study of some visualization techniques that she developed to improve athletic performance. She used amateur golfers and amateur tennis players as participants. In her study, 65% of the participants were golfers, and the other 35% were tennis players. (No participant was both a golfer and a tennis player.) The visualization techniques seemed quite helpful for both the golfers and the tennis players: 80% of the golfers reported a solid improvement in their performance after using the visualization techniques, and 90% of the tennis players reported a solid improvement in their performance after using the techniques. Let G denote the event that a randomly chosen participant was a golfer and G denote the event that a randomly chosen participant was a tennis player. Let I denote the event that a randomly chosen participant reported a solid improvement in performance after using the visualization techniques and I denote the event that a randomly chosen participant did not report a solid improvement in performance after using the visualization techniques. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. (If necessary, consult a list of formulas.) P(1|6) = 0.8 %3D P(Gn 1) = P(G) = 0.65 P(G n 7) = 0 %3D P(7|6) = P(4|0) = P(Gn1) = PG =0 P(Gni) = 0 0.1 What is the probability that a randomly chosen participant reported a solid improvement in performance after using the U visualization techniques?

A sports psychologist performed a study of some visualization techniques that she developed to improve athletic performance. She used amateur golfers and amateur tennis players as participants. In her study, 65% of the participants were golfers, and the other 35% were tennis players. (No participant was both a golfer and a tennis player.) The visualization techniques seemed quite helpful for both the golfers and the tennis players: 80% of the golfers reported a solid improvement in their performance after using the visualization techniques, and 90% of the tennis players reported a solid improvement in their performance after using the techniques. Let G denote the event that a randomly chosen participant was a golfer and G denote the event that a randomly chosen participant was a tennis player. Let I denote the event that a randomly chosen participant reported a solid improvement in performance after using the visualization techniques and I denote the event that a randomly chosen participant did not report a solid improvement in performance after using the visualization techniques. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. (If necessary, consult a list of formulas.) P(1|6) = 0.8 %3D P(Gn 1) = P(G) = 0.65 P(G n 7) = 0 %3D P(7|6) = P(4|0) = P(Gn1) = PG =0 P(Gni) = 0 0.1 What is the probability that a randomly chosen participant reported a solid improvement in performance after using the U visualization techniques?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
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A sports psychologist performed a study of some visualization techniques that she developed to improve athletic performance.
A sports psychologist performed a study of some visualization techniques that she developed to improve athletic performance. She used amateur golfers and amateur tennis players as participants. In her study, 65% of the participants were golfers, and the other 35% were tennis players. (No participant was both a golfer and a tennis player.) The visualization techniques seemed quite helpful for both the golfers and the tennis players: 80% of the golfers reported a solid improvement in their performance after using the visualization techniques, and 90% of the tennis players reported a solid improvement in their performance after using the techniques. Let G denote the event that a randomly chosen participant was a golfer and G denote the event that a randomly chosen participant was a tennis player. Let I denote the event that a randomly chosen participant reported a solid improvement in performance after using the visualization techniques and I denote the event that a randomly chosen participant did not report a solid improvement in performance after using the visualization techniques. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. (If necessary, consult a list of formulas.) P(1|G) = 0.8 P(G N 1) = P(G) = 0.65 P(Gn 7) = P(G|0) = P(1|6) = P(Gn1) = PG =O P(GnT) = 0.1 What is the probability that a randomly chosen participant reported a solid improvement in performance after using the | visualization techniques? Submit Assignment Continue 2021 McGraw Hill Education All Rights Reserved Terms of Use Privacy
Transcribed Image Text:A sports psychologist performed a study of some visualization techniques that she developed to improve athletic performance. She used amateur golfers and amateur tennis players as participants. In her study, 65% of the participants were golfers, and the other 35% were tennis players. (No participant was both a golfer and a tennis player.) The visualization techniques seemed quite helpful for both the golfers and the tennis players: 80% of the golfers reported a solid improvement in their performance after using the visualization techniques, and 90% of the tennis players reported a solid improvement in their performance after using the techniques. Let G denote the event that a randomly chosen participant was a golfer and G denote the event that a randomly chosen participant was a tennis player. Let I denote the event that a randomly chosen participant reported a solid improvement in performance after using the visualization techniques and I denote the event that a randomly chosen participant did not report a solid improvement in performance after using the visualization techniques. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. (If necessary, consult a list of formulas.) P(1|G) = 0.8 P(G N 1) = P(G) = 0.65 P(Gn 7) = P(G|0) = P(1|6) = P(Gn1) = PG =O P(GnT) = 0.1 What is the probability that a randomly chosen participant reported a solid improvement in performance after using the | visualization techniques? Submit Assignment Continue 2021 McGraw Hill Education All Rights Reserved Terms of Use Privacy
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