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Nutritional Information In a sample of 1000 U.S. adults,

Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber ISBN: 9780321911216 66

Solution for problem 24E Chapter 3.2

Elementary Statistics: Picturing the World | 6th Edition

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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber

Elementary Statistics: Picturing the World | 6th Edition

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Problem 24E

Problem 24E

Nutritional Information In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus. Four U.S. adults are selected at random without replacement. (Adapted from Rasmussen Reports)

(a) Find the probability that all four adults are very confident in the nutritional information on restaurant menus.

(b) Find the probability that none of the four adults are very confident in the nutritional information on restaurant menus.

(c) Find the probability that at least one of the four adults is very confident in the nutritional information on restaurant menus.

(d) Which of the events can be considered unusual? Explain.

Step-by-Step Solution:

Answer

Step 1 of 4

(a)

In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus.

Four U.S. adults are selected at random without replacement.

We are asked to find the probability that all four adults are very confident in the nutritional information on restaurant menus.

Let  denote the event that U.S. adults are very confident in the nutritional information on restaurant menus.

Hence the probability that the U.S. adults are very confident in the nutritional information on restaurant menus is,

Since the individual probability is

Using the independence rule of probability, we can find the probability that all four adults are very confident in the nutritional information on restaurant menus.

Hence the probability is


Step 2 of 4

Chapter 3.2, Problem 24E is Solved
Step 3 of 4

Textbook: Elementary Statistics: Picturing the World
Edition: 6
Author: Ron Larson; Betsy Farber
ISBN: 9780321911216

Elementary Statistics: Picturing the World was written by and is associated to the ISBN: 9780321911216. This textbook survival guide was created for the textbook: Elementary Statistics: Picturing the World , edition: 6. The full step-by-step solution to problem: 24E from chapter: 3.2 was answered by , our top Statistics solution expert on 08/25/17, 09:43AM. Since the solution to 24E from 3.2 chapter was answered, more than 1926 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Nutritional, adults, information, Restaurant, confident. This expansive textbook survival guide covers 66 chapters, and 3049 solutions. The answer to “Nutritional Information In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus. Four U.S. adults are selected at random without replacement. (Adapted from Rasmussen Reports)(a) Find the probability that all four adults are very confident in the nutritional information on restaurant menus.________________(b) Find the probability that none of the four adults are very confident in the nutritional information on restaurant menus.________________(c) Find the probability that at least one of the four adults is very confident in the nutritional information on restaurant menus.________________(d) Which of the events can be considered unusual? Explain.” is broken down into a number of easy to follow steps, and 101 words.

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