Given the above population, what is the P(Female|Bachelor's OR more in educational attainment)?- 0.3659- 0.4736- 0.5137- 0.5236This question presents a multiple-choice query about conditional probability. It asks for the probability that a randomly selected individual is female, given that they have attained a Bachelor’s degree or higher. There are four options provided, each representing a potential probability value. **Table: Postgraduate and Doctoral Degree Statistics by Gender**This table provides a breakdown of degrees attained by gender across different academic levels: Bachelors, Masters, Professional, and Doctoral. The total number of graduates in each category is also included.- **Bachelors Degree:** - Male: 23,785 - Female: 26,151 - Total: 49,936- **Masters Degree:** - Male: 9,621 - Female: 12,593 - Total: 22,214- **Professional Degree:** - Male: 1,820 - Female: 1,317 - Total: 3,137- **Doctoral Degree:** - Male: 2,580 - Female: 1,948 - Total: 4,528- **Overall Totals:** - Male: 37,806 - Female: 42,009 - Total: 79,815This data highlights the distribution of educational attainment across genders, demonstrating higher female participation in each category except for Professional and Doctoral degrees. The overall totals show that more females (42,009) have obtained these degrees compared to males (37,806), reflecting trends in higher education demographics.

Consider, Pfemale|bachelor's or more in educational attainment=Pfemale and bachelor's or more in…

Answered: Given the above population, what is the…

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**Table: Postgraduate and Doctoral Degree Statistics by Gender**

This table provides a breakdown of degrees attained by gender across different academic levels: Bachelors, Masters, Professional, and Doctoral. The total number of graduates in each category is also included.

- **Bachelors Degree:**
- Male: 23,785
- Female: 26,151
- Total: 49,936

- **Masters Degree:**
- Male: 9,621
- Female: 12,593
- Total: 22,214

- **Professional Degree:**
- Male: 1,820
- Female: 1,317
- Total: 3,137

- **Doctoral Degree:**
- Male: 2,580
- Female: 1,948
- Total: 4,528

- **Overall Totals:**
- Male: 37,806
- Female: 42,009
- Total: 79,815

This data highlights the distribution of educational attainment across genders, demonstrating higher female participation in each category except for Professional and Doctoral degrees. The overall totals show that more females (42,009) have obtained these degrees compared to males (37,806), reflecting trends in higher education demographics.

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$P (f e m a l e | b a c h e l o r' s o r m o r e i n e d u c a t i o n a l a t t a i n m e n t) = \frac{P (f e m a l e a n d b a c h e l o r' s o r m o r e i n e d u c a t i o n a l a t t a i n m e n t)}{P (b a c h e l o r' s o r m o r e i n e d u c a t i o n a l a t t a i n m e n t)} = \frac{\frac{n (f e m a l e a n d b a c h e l o r' s o r m o r e i n e d u c a t i o n a l a t t a i n m e n t)}{T o t a l}}{\frac{n (b a c h e l o r' s o r m o r e i n e d u c a t i o n a l a t t a i n m e n t)}{T o t a l}} = \frac{26151 + 12.593 + 1317 + 1948}{49936 + 22214 + 3137 + 4528} = 0.5263$

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