Purchase Solution

# Tree diagram for finding the probability of an event.

Not what you're looking for?

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 70% of the participants were golfers, and the other 30% 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: 85% of the golfers reported a solid improvement in their performance after using the visualization techniques, and 75% 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 let the complement of G be 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 let the complement of I be the event that a randomly chosen participant did not report a solid improvement in performance after using the visualization techniques.

What is the probability that a randomly chosen participant reported 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.

##### Solution Summary

Using a tree diagram to find the probability of an event. The solution to this problem uses the formulas for complimentary events and for intersections of events.

##### Free BrainMass Quizzes

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.