9.) A genetics analysis of 50 pea plants' characteristics revealed: 22 plants were tall 25 plants had green peas 39 plants had smooth peas 9 plants were tall and had green peas 20 plants had green peas and smooth peas 6 plants had all three characteristics 4 plants had none of the characteristics 3 2 (a) How many plants were tall with smooth peas? (b) How many plants were tall with peas that were neither smooth nor green? (c) How many plants were not tall, but had peas that were smooth and green?

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ISBN:9780470458365
Author:Erwin Kreyszig
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**Transcription for Educational Website:**

### Genetics Analysis of Pea Plants

A study was conducted on 50 pea plants, focusing on three main characteristics: height, seed texture, and seed color. The analysis revealed the following:

- **22 plants were tall**
- **25 plants had green peas**
- **39 plants had smooth peas**
- **9 plants were tall and had green peas**
- **20 plants had green peas and smooth peas**
- **6 plants exhibited all three characteristics (tall, green peas, smooth peas)**
- **4 plants had none of the characteristics**

### Venn Diagram Explanation

A Venn diagram is included to visually represent the overlap between these characteristics:

- The diagram consists of three intersecting circles representing tall plants (T), green peas (G), and smooth peas (S).
- The intersections show the combinations of characteristics:
  - The center intersection (T ∩ G ∩ S) with 6 plants represents those having all three characteristics.
  - Overlaps between two circles, such as T ∩ G, account for plants having those two characteristics.

### Assessment Questions

**(a)** How many plants were tall with smooth peas?

**(b)** How many plants were tall with peas that were neither smooth nor green?

**(c)** How many plants were not tall but had peas that were smooth and green?

Use the data provided and the Venn diagram to answer these questions by calculating the overlaps and exclusions based on the characteristics specified.
Transcribed Image Text:**Transcription for Educational Website:** ### Genetics Analysis of Pea Plants A study was conducted on 50 pea plants, focusing on three main characteristics: height, seed texture, and seed color. The analysis revealed the following: - **22 plants were tall** - **25 plants had green peas** - **39 plants had smooth peas** - **9 plants were tall and had green peas** - **20 plants had green peas and smooth peas** - **6 plants exhibited all three characteristics (tall, green peas, smooth peas)** - **4 plants had none of the characteristics** ### Venn Diagram Explanation A Venn diagram is included to visually represent the overlap between these characteristics: - The diagram consists of three intersecting circles representing tall plants (T), green peas (G), and smooth peas (S). - The intersections show the combinations of characteristics: - The center intersection (T ∩ G ∩ S) with 6 plants represents those having all three characteristics. - Overlaps between two circles, such as T ∩ G, account for plants having those two characteristics. ### Assessment Questions **(a)** How many plants were tall with smooth peas? **(b)** How many plants were tall with peas that were neither smooth nor green? **(c)** How many plants were not tall but had peas that were smooth and green? Use the data provided and the Venn diagram to answer these questions by calculating the overlaps and exclusions based on the characteristics specified.
Expert Solution
Step 1

After a genetics experiment on 50 pea plants, the numbers of plants with certain characteristics were tallied, with the following results: 22 were tall  25 had green peas  39 had smooth peas;  9 were tall and had green peas;  17 were tall and had smooth peas;  20 had green peas and smooth peas;  6 had all three characteristics;  4 had none of these characteristics  The Venn diagram is shown below:

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