The image presents a problem involving a home pregnancy test administered to women, with subsequent pregnancy verification through blood tests. **Data Table:** - **Columns:** - Pregnant - Not Pregnant - Total - **Rows:** - Positive - Negative - Total - **Values:** | | Pregnant | Not Pregnant | Total | |--------------------|----------|--------------|-------| | **Positive** | 69 | 6 | 75 | | **Negative** | 5 | 74 | 79 | | **Total** | 74 | 80 | 154 | **Questions to solve:** Find the following probabilities and give answers as a reduced fraction or decimal to at least 4 decimal places: a. P(Positive | Pregnant) = ______ b. What is the probability that the woman is pregnant given that the test is positive? (P(Pregnant | Positive) = ______) c. Given that a woman is pregnant, what is the probability that the test is negative? (P(Negative | Pregnant) = ______) d. P(Not Pregnant | Negative) = ______
The image presents a problem involving a home pregnancy test administered to women, with subsequent pregnancy verification through blood tests. **Data Table:** - **Columns:** - Pregnant - Not Pregnant - Total - **Rows:** - Positive - Negative - Total - **Values:** | | Pregnant | Not Pregnant | Total | |--------------------|----------|--------------|-------| | **Positive** | 69 | 6 | 75 | | **Negative** | 5 | 74 | 79 | | **Total** | 74 | 80 | 154 | **Questions to solve:** Find the following probabilities and give answers as a reduced fraction or decimal to at least 4 decimal places: a. P(Positive | Pregnant) = ______ b. What is the probability that the woman is pregnant given that the test is positive? (P(Pregnant | Positive) = ______) c. Given that a woman is pregnant, what is the probability that the test is negative? (P(Negative | Pregnant) = ______) d. P(Not Pregnant | Negative) = ______
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...
Related questions
Question
Transcribed Image Text:The image presents a problem involving a home pregnancy test administered to women, with subsequent pregnancy verification through blood tests.
**Data Table:**
- **Columns:**
- Pregnant
- Not Pregnant
- Total
- **Rows:**
- Positive
- Negative
- Total
- **Values:**
| | Pregnant | Not Pregnant | Total |
|--------------------|----------|--------------|-------|
| **Positive** | 69 | 6 | 75 |
| **Negative** | 5 | 74 | 79 |
| **Total** | 74 | 80 | 154 |
**Questions to solve:**
Find the following probabilities and give answers as a reduced fraction or decimal to at least 4 decimal places:
a. P(Positive | Pregnant) = ______
b. What is the probability that the woman is pregnant given that the test is positive?
(P(Pregnant | Positive) = ______)
c. Given that a woman is pregnant, what is the probability that the test is negative?
(P(Negative | Pregnant) = ______)
d. P(Not Pregnant | Negative) = ______
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON