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 and the randomly chosen participant was a golfer and G(line above it) denote the event that I randomly chosen participate 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 ? denote the event to he 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

P (IG) =1 P(Gni) =1 P(G) = P(Gn I) = 1 P(IG)=0.2 P(IG) =0.9 P(Gni)=1 P(G) =0.35 P(G n !) =0 P(7| G) =0 (b) What is the probability that a randomly chosen participant did not report a solid. improvement in performance after using the visualization techniques? 0