MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Survey on Snack Preference**

Five hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table below:

|                            | 18–24 | 25–34 | 35–55 | 55 and over | Total |
|----------------------------|-------|-------|-------|-------------|-------|
| **Liked Crunchicles**      | 4     | 5     | 3     | 4           | 16    |
| **Disliked Crunchicles**   | 3     | 5     | 3     | 6           | 17    |
| **No Preference**          | 19    | 143   | 126   | 179         | 467   |
| **Total**                  | 26    | 153   | 132   | 189         | 500   |

**Probability Questions:**

For a randomly selected consumer from the survey, calculate the probabilities of the following scenarios using reduced fractions:

1. **Probability that the consumer is 18–24 years of age, given they dislike Crunchicles:**
   - ???

2. **Probability that the selected consumer dislikes Crunchicles:**
   - ???

3. **Probability that the selected consumer is 35–55 years old or likes Crunchicles:**
   - ???

4. **If the selected consumer is 70 years old, what is the probability that they like Crunchicles?**
   - ???
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Transcribed Image Text:**Survey on Snack Preference** Five hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table below: | | 18–24 | 25–34 | 35–55 | 55 and over | Total | |----------------------------|-------|-------|-------|-------------|-------| | **Liked Crunchicles** | 4 | 5 | 3 | 4 | 16 | | **Disliked Crunchicles** | 3 | 5 | 3 | 6 | 17 | | **No Preference** | 19 | 143 | 126 | 179 | 467 | | **Total** | 26 | 153 | 132 | 189 | 500 | **Probability Questions:** For a randomly selected consumer from the survey, calculate the probabilities of the following scenarios using reduced fractions: 1. **Probability that the consumer is 18–24 years of age, given they dislike Crunchicles:** - ??? 2. **Probability that the selected consumer dislikes Crunchicles:** - ??? 3. **Probability that the selected consumer is 35–55 years old or likes Crunchicles:** - ??? 4. **If the selected consumer is 70 years old, what is the probability that they like Crunchicles?** - ???
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