What is the probability that the consumer is 18-24 years of age, given that he/she dislikes Crunchicles? What is the probability that the selected consumer dislikes Crunchicles? What is the probability that the selected consumer is 35-55 years old or likes Crunchicles?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Consumer Survey Analysis on Crunchicles**

Two 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**    |   23  |   15  |   12  |      26     |   76  |
| **Disliked Crunchicles** |   19  |   15  |    9  |      30     |   73  |
| **No Preference**        |   13  |   15  |   14  |       9     |   51  |
| **Total**                |   55  |   45  |   35  |      65     |  200  |

**Consumer Preference Analysis**

One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions.

1. **What is the probability that the consumer is 18–24 years of age, given that he/she dislikes Crunchicles?**

2. **What is the probability that the selected consumer dislikes Crunchicles?**

3. **What is the 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 he/she likes Crunchicles?**
Transcribed Image Text:**Consumer Survey Analysis on Crunchicles** Two 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** | 23 | 15 | 12 | 26 | 76 | | **Disliked Crunchicles** | 19 | 15 | 9 | 30 | 73 | | **No Preference** | 13 | 15 | 14 | 9 | 51 | | **Total** | 55 | 45 | 35 | 65 | 200 | **Consumer Preference Analysis** One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions. 1. **What is the probability that the consumer is 18–24 years of age, given that he/she dislikes Crunchicles?** 2. **What is the probability that the selected consumer dislikes Crunchicles?** 3. **What is the 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 he/she likes Crunchicles?**
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