3. About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. In a group of 50 people find the following probabilities. a. psisa bloriazuori me si ai 000, There are exactly 4 colorblind people. 000.012 1910 en b. There are 2 OR 3 colorblind people. c. The first colorblind person found is the 18th one checked d. On average, how many colorblind people would you expect in the group? (mean)

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### Probability and Statistics: Colorblindness in a Sample Group

#### Question 3

About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. In a group of 50 people, find the following probabilities:

- **a.** There are exactly 4 colorblind people.
- **b.** There are 2 OR 3 colorblind people.
- **c.** The first colorblind person found is the 18th one checked.
- **d.** On average, how many colorblind people would you expect in the group? (mean)

---

In this task, you are to calculate the probabilities relating to colorblindness within a sample group of 50 individuals. This exercise involves using principles of probability, specifically focusing on binomial and geometric distributions, as well as calculating expected values.

**Graphical/Diagram Explanation:**
This problem does not include any graphs or diagrams, but if it did, potential visual aids might include:
- **Bar Graph:** Showing the frequency of colorblind individuals within different sample sizes.
- **Probability Distribution Diagram:** Illustrating the likelihood of finding a certain number of colorblind individuals in the sample.
- **Tree Diagram:** Mapping out different outcomes in finding the colorblind people sequentially. 

These tools can help visually represent the calculations needed to answer the questions effectively.
Transcribed Image Text:### Probability and Statistics: Colorblindness in a Sample Group #### Question 3 About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. In a group of 50 people, find the following probabilities: - **a.** There are exactly 4 colorblind people. - **b.** There are 2 OR 3 colorblind people. - **c.** The first colorblind person found is the 18th one checked. - **d.** On average, how many colorblind people would you expect in the group? (mean) --- In this task, you are to calculate the probabilities relating to colorblindness within a sample group of 50 individuals. This exercise involves using principles of probability, specifically focusing on binomial and geometric distributions, as well as calculating expected values. **Graphical/Diagram Explanation:** This problem does not include any graphs or diagrams, but if it did, potential visual aids might include: - **Bar Graph:** Showing the frequency of colorblind individuals within different sample sizes. - **Probability Distribution Diagram:** Illustrating the likelihood of finding a certain number of colorblind individuals in the sample. - **Tree Diagram:** Mapping out different outcomes in finding the colorblind people sequentially. These tools can help visually represent the calculations needed to answer the questions effectively.
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