Answered: Five hundred consumers were surveyed…

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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Question

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

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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