Answered: What is the probability that the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Four 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	12	11	3	45	71
Disliked Crunchicles	1	5	4	6	16
No Preference	13	9	9	282	313
Total	26	25	16	333	400

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

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



Part B: What is the probability that the selected consumer dislikes Crunchicles?



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



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