The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) Business Graduates Male Female Total Business degrees Nonbusiness degrees 191,262 621,964 176,327 876,047 367,589 1,498,011 Print Done Total 813,226 1,052,374 1,865,600 P - X
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) Business Graduates Male Female Total Business degrees Nonbusiness degrees 191,262 621,964 176,327 876,047 367,589 1,498,011 Print Done Total 813,226 1,052,374 1,865,600 P - X
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 36E: Political Poll An independent polling organization interviewed 100 college students to determine...
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Transcribed Image Text:### Probability and Statistics: Analyzing Business Graduates Data
#### Introduction
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below.
#### Problem Statement
(a) Find the probability that a randomly selected student is male, given that the student received a business degree.
The probability that a randomly selected student is male, given that the student received a business degree, is _______. (Round to three decimal places as needed.)
#### Data Table
The data table below categorizes business graduates by their degree type and gender:
##### Business Graduates
| | Business degrees | Nonbusiness degrees | Total |
|------------------|------------------|---------------------|----------|
| **Male** | 191,262 | 621,964 | 813,226 |
| **Female** | 176,327 | 876,047 | 1,052,374|
| **Total** | 367,589 | 1,498,011 | 1,865,600|
---
#### Explanation of Graphs/Diagrams
The table presented is divided into three main columns and four rows. It details the distribution of bachelor's degrees among business and nonbusiness graduates, separated by gender (male and female):
1. **Columns**:
- **Business degrees**: Number of students who received business degrees.
- **Nonbusiness degrees**: Number of students who received degrees in fields other than business.
- **Total**: Total number of students in each category (both business and nonbusiness degrees) and gender.
2. **Rows**:
- **Male**: Total number of male students in each degree category.
- **Female**: Total number of female students in each degree category.
- **Total**: Combined totals for male and female students in each degree category.
#### Instructions
Utilize the data provided in the table to calculate the probability for part (a) of the problem statement. Remember to round your answer to three decimal places as needed.
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