Paragraph Styles Editing When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities: 0.37,0.42, 0.11, and 0.10. Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will 5. be short and colorful, and 1 will be short and colorless. Distribution type: Probability:

MATLAB: An Introduction with Applications
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**Problem 5: Plant Genetics Probability**

When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: 
- Tall and colorful
- Tall and colorless
- Short and colorful
- Short and colorless

The probabilities for each type are as follows:
- Tall and colorful: 0.37
- Tall and colorless: 0.42
- Short and colorful: 0.11
- Short and colorless: 0.10

Ten plants are selected. Calculate the probability that among these:
- 5 plants will be tall and colorful
- 2 plants will be tall and colorless
- 2 plants will be short and colorful
- 1 plant will be short and colorless

**Distribution type:** __________________
**Probability:** __________________

(Note: To solve this problem, you may use a multinomial distribution approach to determine the exact probability of this particular outcome.)
Transcribed Image Text:**Problem 5: Plant Genetics Probability** When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: - Tall and colorful - Tall and colorless - Short and colorful - Short and colorless The probabilities for each type are as follows: - Tall and colorful: 0.37 - Tall and colorless: 0.42 - Short and colorful: 0.11 - Short and colorless: 0.10 Ten plants are selected. Calculate the probability that among these: - 5 plants will be tall and colorful - 2 plants will be tall and colorless - 2 plants will be short and colorful - 1 plant will be short and colorless **Distribution type:** __________________ **Probability:** __________________ (Note: To solve this problem, you may use a multinomial distribution approach to determine the exact probability of this particular outcome.)
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