1) The table below shows how boys and girls from a graduating senior class place their priority. Some of them think that grades are the most important issue, others think that being popular in school is most important to them, and yet others think that sports is the most important issue to them. But are these issues gender dependent? Grades Popular Sports Total Вoy 117 50 60 227 Girl 130 91 30 251 Total 247 141 90 478 a) Find the probability that a random student would consider grades is the important issue. 247/478=.517=51.7% b) Given that it is a girl, find the probability that she thinks grade is the most important issue. 130/478=.272=27.2% c) Given that it is a boy, find the probability that he thinks grade is the most important issue. 117/478=.245=24.5% d) Are the events "grades" and "gender" independent? Explain.
1) The table below shows how boys and girls from a graduating senior class place their priority. Some of them think that grades are the most important issue, others think that being popular in school is most important to them, and yet others think that sports is the most important issue to them. But are these issues gender dependent? Grades Popular Sports Total Вoy 117 50 60 227 Girl 130 91 30 251 Total 247 141 90 478 a) Find the probability that a random student would consider grades is the important issue. 247/478=.517=51.7% b) Given that it is a girl, find the probability that she thinks grade is the most important issue. 130/478=.272=27.2% c) Given that it is a boy, find the probability that he thinks grade is the most important issue. 117/478=.245=24.5% d) Are the events "grades" and "gender" independent? Explain.
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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