Refer to Question 14. A small college reported that 23% of the students are business majors and 77% are non-business majors. Assume that graduation records show 85% of business students graduated within five years, but only 82% of non-business students graduate within five years. Define the following events. B = Business student = non-business student G = the student graduated within five years = the student did not graduate within five years i. What is the percentage of students graduated within five years? ii. Among all students graduated within five years, what is the percentage of business major students? iii. Are the events B and G independent? Explain using probabilities. Hint: Use a probability tree diagram to solve the problems.

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