In a certain large town, 15% of High School students who play in the school marching band in any year were recommended by their Middle School band teacher. Of those who joined the marching band because they had been recommended, 90% are very good at what they do. Of those who joined the marching band and weren't recommended, only 60% are very good. A random High School marching band student is chosen. The student plays in front of experts who are qualified to judge a student as very good or not. For the purpose of this question, suppose the percentages in the sample match all percentages stated above. Find each probability and do not round answers unless told to: a) The High School student was recommended and was judged to be very good b) The student was very good, given that they were actually recommended C) The student was very good

In a certain large town, 15% of High School students who play in the school marching band in any year were recommended by their Middle School band teacher. Of those who joined the marching band because they had been recommended, 90% are very good at what they do. Of those who joined the marching band and weren't recommended, only 60% are very good. A random High School marching band student is chosen. The student plays in front of experts who are qualified to judge a student as very good or not. For the purpose of this question, suppose the percentages in the sample match all percentages stated above. Find each probability and do not round answers unless told to: a) The High School student was recommended and was judged to be very good b) The student was very good, given that they were actually recommended C) The student was very good

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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