Answered: veyed about a new brand of snack food,…

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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$### Consumer Survey on Snack Food Preferences Three hundred consumers are 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** | 2 | 5 | 3 | 4 | 14 | | **Disliked Crunchicles** | 8 | 21 | 28 | 32 | 89 | | **No Preference** | 23 | 12 | 26 | 136 | 197 | | **Total** | 33 | 38 | 57 | 172 | 300 | #### Probability Questions 1. **What is the probability that the consumer is 18-24 years of age, given that he/she dislikes Crunchicles?** \[ \text{Probability} = \frac{8}{89} \quad \text{(Correct)} \] 2. **What is the probability that the selected consumer dislikes Crunchicles?** \[ \text{Probability} = \frac{89}{300} \quad \text{(Correct)} \] 3. **What is the probability that the selected consumer is 35-55 years old or likes Crunchicles?** \[ \text{Probability} = \frac{17}{75} \quad \text{(Correct)} \] 4. **If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?** - This question requires additional information about consumer age not provided here. The probability calculations are based on the given data, ensuring answers are in reduced fraction form.$

Transcribed Image Text:### Consumer Survey on Snack Food Preferences Three hundred consumers are 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** | 2 | 5 | 3 | 4 | 14 | | **Disliked Crunchicles** | 8 | 21 | 28 | 32 | 89 | | **No Preference** | 23 | 12 | 26 | 136 | 197 | | **Total** | 33 | 38 | 57 | 172 | 300 | #### Probability Questions 1. **What is the probability that the consumer is 18-24 years of age, given that he/she dislikes Crunchicles?** \[ \text{Probability} = \frac{8}{89} \quad \text{(Correct)} \] 2. **What is the probability that the selected consumer dislikes Crunchicles?** \[ \text{Probability} = \frac{89}{300} \quad \text{(Correct)} \] 3. **What is the probability that the selected consumer is 35-55 years old or likes Crunchicles?** \[ \text{Probability} = \frac{17}{75} \quad \text{(Correct)} \] 4. **If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?** - This question requires additional information about consumer age not provided here. The probability calculations are based on the given data, ensuring answers are in reduced fraction form.

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