An MBA new-matriculants survey provided the following data for 2018 students. Excel File: data04-53.xlsx Applied to More Than One School Yes No 23 and under 207 201 24-26 299 379 Age 27-30 185 268 Group 31-35 66 193 36 and over 51 169 a. Given that a person applied to more than one school, what is the probability that the person is 24 – 26 years old (to 4 decimals)? b. 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)? c. What is the probability that a person is 24 – 26 years old or applied to more than one school (to 4 decimals)? d. 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)? e. Is the number of schools applied to independent of age? Explain. - Select your answer-
An MBA new-matriculants survey provided the following data for 2018 students. Excel File: data04-53.xlsx Applied to More Than One School Yes No 23 and under 207 201 24-26 299 379 Age 27-30 185 268 Group 31-35 66 193 36 and over 51 169 a. Given that a person applied to more than one school, what is the probability that the person is 24 – 26 years old (to 4 decimals)? b. 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)? c. What is the probability that a person is 24 – 26 years old or applied to more than one school (to 4 decimals)? d. 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)? e. Is the number of schools applied to independent of age? Explain. - Select your answer-
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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Transcribed Image Text:### MBA New-Matriculants Survey Data
The following data was collected from a survey of 2018 MBA students regarding their application habits:
#### Data Overview
| Age Group | Applied to More Than One School (Yes) | Applied to More Than One School (No) |
|----------------|--------------------------------------|-------------------------------------|
| 23 and under | 207 | 201 |
| 24–26 | 299 | 379 |
| 27–30 | 185 | 268 |
| 31–35 | 66 | 193 |
| 36 and over | 51 | 169 |
#### Probability Questions
a. **Given that a person applied to more than one school, what is the probability that the person is 24–26 years old (to 4 decimals)?**
b. **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)?**
c. **What is the probability that a person is 24–26 years old or applied to more than one school (to 4 decimals)?**
d. **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)?**
e. **Is the number of schools applied to independent of age? Explain.**
For calculating these probabilities, consider the totals from the dataset and apply the basic principles of probability.
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