A GMAC MBA new-matriculants survey provided the following data for 2018 students.     Applied to MoreThan One School     Yes No AgeGroup 23 and under 207 201 24–26 299 379 27–30 185 268 31–35   66 193 36 and over   51 169 Given that a person applied to more than one school, what is the probability that the person is 24-26 years old (to 2 decimals)? Given that a person is in the 36-and-over age group, what is the probability that the person applied to more than one school (to 4 decimals)? What is the probability that a person is 24-26 years old or applied to more than one school (to 4 decimals)? Suppose a person is known to have applied to only one school. What is the probability that the person is 31 or more years old (to 4 decimals)? Is the number of schools applied to independent of age?SelectYes, because the conditional probabilities all equal the marginal probabilitiesNo, because the conditional probabilities all do not equal the marginal probabilitiesItem 5

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A GMAC MBA new-matriculants survey provided the following data for 2018 students.

    Applied to More
Than One School
    Yes No
Age
Group
23 and under 207 201
24–26 299 379
27–30 185 268
31–35   66 193
36 and over   51 169

  1. Given that a person applied to more than one school, what is the probability that the person is 24-26 years old (to 2 decimals)?


  2. Given that a person is in the 36-and-over age group, what is the probability that the person applied to more than one school (to 4 decimals)?


  3. What is the probability that a person is 24-26 years old or applied to more than one school (to 4 decimals)?


  4. Suppose a person is known to have applied to only one school. What is the probability that the person is 31 or more years old (to 4 decimals)?


  5. Is the number of schools applied to independent of age?
    SelectYes, because the conditional probabilities all equal the marginal probabilitiesNo, because the conditional probabilities all do not equal the marginal probabilitiesItem 5

 

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