Question

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

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*?

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

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

51245124

What is the probability that the selected consumer dislikes

295295

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

100100

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

LicensePoints possible: 1

This is attempt 1 of 3.

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This is attempt 1 of 3.

Message instructor about this question

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

Step 2

b)

Probability that the selected consumer dislikes Crunchicles

From Table

Step 3

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

=P (consumer is 3...

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