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to contain 200 blooming plants. Each was classified both by color and by the presence or absence of fragrance. The results are below. What is the probability that a randomly selected azalea has no fragrance or is not colored? 0.75 O 0.90 0.41 O 0.25 0.94 Fragrance Yes No Yes 118 20 Color No 12 50

to contain 200 blooming plants. Each was classified both by color and by the presence or absence of fragrance. The results are below. What is the probability that a randomly selected azalea has no fragrance or is not colored? 0.75 O 0.90 0.41 O 0.25 0.94 Fragrance Yes No Yes 118 20 Color No 12 50

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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## Study on the Association Between Flower Color and Fragrance in Wild Azaleas ### Introduction A research study was conducted to explore the relationship between the color of flowers and their fragrance in wild azaleas located in the Great Smoky Mountains. The study involved a 5-acre tract of mountain terrain, which was found to contain 200 blooming azalea plants. Each plant was categorized based on its flower color (colored or not) and the presence or absence of fragrance. ### Data Table The results of the study are summarized in the following table: | | **Color** | |---------------|-------------| | **Fragrance** | **Yes** | **No** | | Yes | 118 | 12 | | No | 20 | 50 | ### Analysis The table shows the distribution of the plants based on their color and fragrance attributes. - **Fragrance & Color**: - Yes Fragrance & Yes Color: 118 plants - Yes Fragrance & No Color: 12 plants - **No Fragrance & Color**: - No Fragrance & Yes Color: 20 plants - No Fragrance & No Color: 50 plants ### Question **What is the probability that a randomly selected azalea has no fragrance or is not colored?** ### Answer Choices - 0.75 - 0.90 - 0.41 - 0.25 - 0.94 ### Calculation Explanation To find the probability that a randomly selected azalea has no fragrance or is not colored, we use the principle of the union of two events in probability (P(No Fragrance ∪ No Color)). 1. Calculate the total number of plants: \[ \text{Total Number of Plants} = 118 + 12 + 20 + 50 = 200 \] 2. Calculate the number of plants that have no fragrance: \[ \text{No Fragrance} = 20 + 50 = 70 \] 3. Calculate the number of plants that are not colored: \[ \text{Not Colored} = 12 + 50 = 62 \] 4. Calculate the number of plants that have no fragrance and are not colored (to avoid double-counting): \[ \text{No Fragrance and Not
Transcribed Image Text:## Study on the Association Between Flower Color and Fragrance in Wild Azaleas ### Introduction A research study was conducted to explore the relationship between the color of flowers and their fragrance in wild azaleas located in the Great Smoky Mountains. The study involved a 5-acre tract of mountain terrain, which was found to contain 200 blooming azalea plants. Each plant was categorized based on its flower color (colored or not) and the presence or absence of fragrance. ### Data Table The results of the study are summarized in the following table: | | **Color** | |---------------|-------------| | **Fragrance** | **Yes** | **No** | | Yes | 118 | 12 | | No | 20 | 50 | ### Analysis The table shows the distribution of the plants based on their color and fragrance attributes. - **Fragrance & Color**: - Yes Fragrance & Yes Color: 118 plants - Yes Fragrance & No Color: 12 plants - **No Fragrance & Color**: - No Fragrance & Yes Color: 20 plants - No Fragrance & No Color: 50 plants ### Question **What is the probability that a randomly selected azalea has no fragrance or is not colored?** ### Answer Choices - 0.75 - 0.90 - 0.41 - 0.25 - 0.94 ### Calculation Explanation To find the probability that a randomly selected azalea has no fragrance or is not colored, we use the principle of the union of two events in probability (P(No Fragrance ∪ No Color)). 1. Calculate the total number of plants: \[ \text{Total Number of Plants} = 118 + 12 + 20 + 50 = 200 \] 2. Calculate the number of plants that have no fragrance: \[ \text{No Fragrance} = 20 + 50 = 70 \] 3. Calculate the number of plants that are not colored: \[ \text{Not Colored} = 12 + 50 = 62 \] 4. Calculate the number of plants that have no fragrance and are not colored (to avoid double-counting): \[ \text{No Fragrance and Not
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