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Three hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. 18–2425–3435–5555 and overTotalLiked Crunchicles4932339Disliked Crunchicles5272864124No Preference7271093137Total166341180300One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions.What is the probability that the consumer is 18–24 years of age, given that they dislike Crunchicles?    51245124What is the probability that the selected consumer dislikes Crunchicles?    295295What is the probability that the selected consumer is 35–55 years old or likes Crunchicles?    100100If the selected consumer is 70 years old, what is the probability that they like Crunchicles?    LicensePoints possible: 1This is attempt 1 of 3.Message instructor about this question

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

  18–24 25–34 35–55 55 and over Total
Liked Crunchicles 4 9 3 23 39
Disliked Crunchicles 5 27 28 64 124
No Preference 7 27 10 93 137
Total 16 63 41 180 300


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

What is the probability that the consumer is 18–24 years of age, given that they dislike Crunchicles?

    51245124

What is the probability that the selected consumer dislikes Crunchicles?

    295295

What is the probability that the selected consumer is 35–55 years old or likes Crunchicles?

    100100

If the selected consumer is 70 years old, what is the probability that they like Crunchicles?

   

 
LicensePoints possible: 1
This is attempt 1 of 3.
Message instructor about this question
 
check_circleAnswer
Step 1

a)

a) As per the question, no of consumers who are in the age of 18-24 years of age who dislike crunchies are 5 out of 300

Total No of people who disliked crunchies are 124 out of 300

Applying the conditional probability

Consumers are in the age group of 18 24v
P
Disliked Crunchies
5
P(People in age group of 18 24 and dislike crunchies)
5
300
124
P(People who disliked crunchies)
124
300
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Consumers are in the age group of 18 24v P Disliked Crunchies 5 P(People in age group of 18 24 and dislike crunchies) 5 300 124 P(People who disliked crunchies) 124 300

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Step 2

b)

 Probability that the selected consumer dislikes Crunchicles

From Table

124
31
75
300
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Image Transcriptionclose

124 31 75 300

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Step 3

c) Probability that the selected consumer is 35–55 years old or likes Crunchicles

=P (consumer is 3...

41
39
3
77
300 300
300
300
help_outline

Image Transcriptionclose

41 39 3 77 300 300 300 300

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