Two hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. Liked Crunchicles Disliked Crunchicles No Preference Total 18-24 5 2 11 18 25-34 35-55 55 and over Total 19 61 12 30 69 109 100 200 19 8 9 36 18 8 20 46 One consumer from the survey is selected at random. Leave all answers in a reduced fraction. a. What is the probability that the consumer is 18-24 years of age, given that he/she dislikes Crunchicles? b. What is the probability that the selected consumer dislikes Crunchicles? c. What is the probability that the selected consumer is 35-55 years old or likes Crunchicles? d. If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterP: Prologue: Calculator Arithmetic
Section: Chapter Questions
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Two hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and
preferences are given in the table.
Liked Crunchicles
Disliked Crunchicles
No Preference
Total
18-24
5
2
11
18
25-34 35-55 55 and over Total
19
61
12
30
69
109
100 200
19
8
9
36
18
8
20
46
One consumer from the survey is selected at random. Leave all answers in a reduced fraction.
a. What is the probability that the consumer is 18-24 years of age, given that he/she dislikes
Crunchicles?
b. What is the probability that the selected consumer dislikes Crunchicles?
c. What is the probability that the selected consumer is 35-55 years old or likes Crunchicles?
d. If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?
Transcribed Image Text:Two hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. Liked Crunchicles Disliked Crunchicles No Preference Total 18-24 5 2 11 18 25-34 35-55 55 and over Total 19 61 12 30 69 109 100 200 19 8 9 36 18 8 20 46 One consumer from the survey is selected at random. Leave all answers in a reduced fraction. a. What is the probability that the consumer is 18-24 years of age, given that he/she dislikes Crunchicles? b. What is the probability that the selected consumer dislikes Crunchicles? c. What is the probability that the selected consumer is 35-55 years old or likes Crunchicles? d. If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?
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