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-

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### 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.
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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