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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.
LOADING... Click the icon to view the data on business degrees.b) Find the probability that a randomly selected student received a business​ degree, given that the student is female.
The probability that a randomly selected student received a business​ degree, given that the student is​ female, is 
  
enter your response here.
​(Round to three decimal places as​ needed.)

Let's break down the information from the table to solve the problem.

### Table summary:
- **Business Degrees:**
  - Male: 198,377
  - Female: 168,099
  - Total: 366,476
- **Nonbusiness Degrees:**
  - Male: 623,331
  - Female: 883,305
  - Total: 1,506,636
- **Overall Total:**
  - Male: 821,708
  - Female: 1,051,404
  - Total: 1,873,112

### Part (b): 
We need to find the probability that a randomly selected student received a **business degree**, given that the student is **female**. 

This is a conditional probability, and the formula is:

\[
P(\text{Business Degree | Female}) = \frac{P(\text{Business Degree and Female})}{P(\text{Female})}
\]

Where:
- \(P(\text{Business Degree and Female})\) is the number of females who received a business degree, which is 168,099.
- \(P(\text{Female})\) is the total number of females, which is 1,051,404.

Now, let's calculate the probability:

\[
P(\text{Business Degree | Female}) = \frac{168,099}{1,051,404} \approx 0.160
\]

### Final Answer:
The probability that a randomly selected student received a business degree, given that the student is female, is approximately **0.160** (rounded to three decimal places).

Would you like further clarification or additional details?

Here are 5 related questions:
1. What is the probability that a randomly selected male received a business degree?
2. What is the probability that a randomly selected student received a nonbusiness degree?
3. How would the probability change if only male students were considered?
4. What is the overall probability that a student received a business degree?
5. What proportion of total graduates are female?

**Tip**: When calculating conditional probabilities, always focus on the subset relevant to the condition given.

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. b) Find the probability that a randomly selected student received a business degree, given that the student is female.

Find the probability that a randomly selected student received a business degree, given that the student is female. This problem involves conditional probability using data from business and nonbusiness degrees. Suitable for students in Grades 10-12.

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