Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. What is the probability that a randomly chosen participant reported a solid improvement in performance after using the visualization techniques? Solution working from top down: 1st column, 0.4 2nd column, 0.25 0.3 3rd column, 0.45 (.6*.75) 0.15 (.6*.75) 0.28 (.4*.7) 0.12 (.4*.3) The numbers in the 3rd column should sum to 1 because they represent proportions of the overall population. The conditional percentages in the 2nd column represent proportions of golfers and tennis players respectively..

1. Fill in the probabilities to complete the tree diagram below, and then answer the question that
follows. Do not round any of your responses.
What is the probability that a randomly chosen participant reported a solid improvement in
performance after using the visualization techniques?
Solution
working from top down: 1st column, 0.4 2nd column, 0.25 0.3 3rd column, 0.45
(.6*.75) 0.15 (.6*.75) 0.28 (.4*.7) 0.12 (.4*.3) The numbers in the 3rd column should sum to 1
because they represent proportions of the overall population. The conditional percentages in the
2nd column represent proportions of golfers and tennis players respectively.