(b) What is the probability that a child has eractly one of the conditions (sickle cell trait or malaria)? (Translate this unknown probability using set notation and find the probability.) (Hint: you might want to draw a Venn Diagram or fill in the following probability table to help you figure it out.) Have sickle cell trait Don't have sickle cell trait Total 75 Have malaria Don't have malaria 25 Total 25 (c) Calculate the probability that the child has malaria given that the child has sickle cell trait. (Translate this unknown probability using set notation and find the probability.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A,B, and C please
**Title: Sickle-Cell Anemia and Its Relation to Malaria Resistance**

**Introduction**

Sickle-cell anemia is a hereditary medical condition that affects red blood cells. It is believed to offer protection against malaria, a severe parasitic infection affecting the liver and blood. This trait is prevalent among individuals from Africa, where malaria is common. 

**Study Overview**

A significant study conducted in Africa examined children for the sickle-cell trait and malaria infection. The findings revealed that:

- 25% of children possessed the sickle-cell trait.
- 53% of children had at least one condition (either the sickle-cell trait or malaria).
- 6.6% of children had both conditions (sickle-cell trait and malaria).

**Definitions**

- Let \( SC \) denote the event of having the sickle-cell trait.
- Let \( M \) denote the event of having malaria.

**Challenge**

(a) Express the three stated probabilities using set notation. 

This exercise invites you to translate these insights into mathematical expressions, enhancing understanding of the interplay between genetics and disease resistance.

**Application**

This information serves as a basis for understanding how genetic traits can influence disease resistance, offering insights into the relationship between sickle-cell anemia and malaria resistance.
Transcribed Image Text:**Title: Sickle-Cell Anemia and Its Relation to Malaria Resistance** **Introduction** Sickle-cell anemia is a hereditary medical condition that affects red blood cells. It is believed to offer protection against malaria, a severe parasitic infection affecting the liver and blood. This trait is prevalent among individuals from Africa, where malaria is common. **Study Overview** A significant study conducted in Africa examined children for the sickle-cell trait and malaria infection. The findings revealed that: - 25% of children possessed the sickle-cell trait. - 53% of children had at least one condition (either the sickle-cell trait or malaria). - 6.6% of children had both conditions (sickle-cell trait and malaria). **Definitions** - Let \( SC \) denote the event of having the sickle-cell trait. - Let \( M \) denote the event of having malaria. **Challenge** (a) Express the three stated probabilities using set notation. This exercise invites you to translate these insights into mathematical expressions, enhancing understanding of the interplay between genetics and disease resistance. **Application** This information serves as a basis for understanding how genetic traits can influence disease resistance, offering insights into the relationship between sickle-cell anemia and malaria resistance.
The image features a probability problem related to sickle cell trait and malaria, accompanied by a table and a Venn diagram suggestion. Below is a transcription of the content designed for an educational setting:

---

(b) What is the probability that a child has **exactly one** of the conditions (sickle cell trait or malaria)? 
*(Translate this unknown probability using set notation and find the probability.)*

*(Hint: you might want to draw a Venn Diagram or fill in the following probability table to help you figure it out.)*

**Probability Table:**

|                         | **Have sickle cell trait** | **Don’t have sickle cell trait** | **Total** |
|-------------------------|----------------------------|---------------------------------|----------|
| **Have malaria**        | 0.25                       | 0.25                            |          |
| **Don't have malaria**  |                            |                                 |          |
| **Total**               | 0.25                       | 0.75                            |          |

---

(c) Calculate the probability that the child has malaria given that the child has sickle cell trait. *(Translate this unknown probability using set notation and find the probability.)*

---

**Graph/Diagram Explanation:**

- A Venn diagram is briefly mentioned with overlapping circles labeled as S (sickle cell trait) and M (malaria). It is suggested as a tool to understand the relationship between the two conditions.
- The table provided is partially filled with probabilities for combinations of having or not having sickle cell trait and malaria.

This educational content guides the learner in using both a probability table and a Venn diagram to solve conditional probability questions.
Transcribed Image Text:The image features a probability problem related to sickle cell trait and malaria, accompanied by a table and a Venn diagram suggestion. Below is a transcription of the content designed for an educational setting: --- (b) What is the probability that a child has **exactly one** of the conditions (sickle cell trait or malaria)? *(Translate this unknown probability using set notation and find the probability.)* *(Hint: you might want to draw a Venn Diagram or fill in the following probability table to help you figure it out.)* **Probability Table:** | | **Have sickle cell trait** | **Don’t have sickle cell trait** | **Total** | |-------------------------|----------------------------|---------------------------------|----------| | **Have malaria** | 0.25 | 0.25 | | | **Don't have malaria** | | | | | **Total** | 0.25 | 0.75 | | --- (c) Calculate the probability that the child has malaria given that the child has sickle cell trait. *(Translate this unknown probability using set notation and find the probability.)* --- **Graph/Diagram Explanation:** - A Venn diagram is briefly mentioned with overlapping circles labeled as S (sickle cell trait) and M (malaria). It is suggested as a tool to understand the relationship between the two conditions. - The table provided is partially filled with probabilities for combinations of having or not having sickle cell trait and malaria. This educational content guides the learner in using both a probability table and a Venn diagram to solve conditional probability questions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman