/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 43 Cell phones聽The Pew Research Ce... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 43 (page 327)

Cell phonesThe Pew Research Center asked a random sample of 2024adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.

Suppose we select one of the survey respondents at random. What鈥檚 the probability that:

a. The person is not age 18to 34and does not own an iPhone?

b. The person is age 18to 34or owns an iPhone?

Short Answer

Expert verified

a. The probability of a person who is not between the ages of 18and 34and does not own an iPhone is approximately 0.5973.

b. The probability of someone between the ages of 18and 34owning an iPhone is approximately 0.4027

Step by step solution

01

Part (a) Step 1 : Given Information

We have to determine the probability for the person not aged 18 鈭 34 and does not own an iPhone.

02

Part (a) Step 2 : Simplification

A total of 2024adult cell phone users are shown in the table.
Thus,

2024is the maximum number of possible outcomes.

Now,
The following are the people who are not between the ages of 18and34 and do not own an iPhone:
Android users (other than those between the ages of 18and34):
Android is used by 189individuals aged 35to 54.
Android is used by 100persons aged55and up.
Other cell phone users (not under the age of18):
Other cell phones are used by 277adults aged 35to 54.
Other cell phones are used by 643individuals aged 55and up.
When all of the above counts are added together, we get 1209.
That is to say,
adults between the ages of 18and 34do not have an iPhone.
Thus,
The total number of positive outcomes is 1209.

The probability is calculated by dividing the number of favourable outcomes by the total number of possible possibilities.

P(Not鈥18鈥鈭鈥34鈥and鈥do鈥not鈥own鈥iPhone)=Number鈥of鈥favorable鈥outcomesNumber鈥of鈥possible鈥outcomes鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥=12092024鈥鈥鈥鈥鈥鈮0.5973
As a result, the probability of a person who is not between the ages of 18and 34and does not own an iPhone is approximately 0.5973.

03

Part (b) Step 1 : Given Information

We have to determine the probability for the person aged 18-34or owns an iPhone.

04

Part (b) Step 2 : Simplification

A total of 2024adult cell phone users are shown in the table.
Thus,
2024is the maximum number of possible outcomes.
Now,
For those between the ages of 18and34who own an iPhone:
18to 34years old:
517of the 2024adults are between the ages of 18and 34.
iPhone users (other than those between the ages of 18and 34):
iPhone is used by 171individuals aged 35to 54.
iPhone is used by 127individuals aged 55and up.
When all of the above counts are added together, the total is 815.
That is to say,
815adults between the ages of 18and 34own an iPhone.
Thus,
The total number of positive outcomes is815.

The probability is calculated by dividing the number of favourable outcomes by the total number of possible possibilities.

P(Aged鈥18鈥鈭鈥34鈥or鈥own鈥iPhone)=Number鈥of鈥favorable鈥outcomesNumber鈥of鈥possible鈥outcomes鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥=8052024鈥鈥鈥鈥鈮0.4027

Thus,
The probability of someone between the ages of 18and 34owning an iPhone is approximately 0.4027.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Teachers and college degrees Select an adult at random. Define events D: person has earned a college degree, and T: person鈥檚 career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.

P(D)P(T)P(DT)P(TD)

Tall people and basketball players Select an adult at random. Define events T: person is over 6feet tall, and

B: person is a professional basketball player. Rank the following probabilities from smallest to largest. Justify your answer.

P(T)P(B)P(T鈭B)P(B鈭T)

Liar, liar! Sometimes police use a lie detector test to help determine whether a suspect is

telling the truth. A lie detector test isn鈥檛 foolproof鈥攕ometimes it suggests that a person is

lying when he or she is actually telling the truth (a 鈥渇alse positive鈥). Other times, the test

says that the suspect is being truthful when he or she is actually lying (a 鈥渇alse negative鈥).

For one brand of lie detector, the probability of a false positive is 0.08.

a. Explain what this probability means.

b. Which is a more serious error in this case: a false positive or a false negative? Justify

your answer.

Languages in Canada Canada has two official languages, English and French. Choose a Canadian at random and ask, 鈥淲hat is your mother tongue?鈥 Here is the distribution of responses, combining many separate languages from the broad Asia/Pacific region

a. Explain why this is a valid probability model.

b. What is the probability that the chosen person鈥檚 mother tongue is not English?

c. What is the probability that the chosen person鈥檚 mother tongue is one of Canada鈥檚 official languages?

Gender and political party In January2017, 52%of U.S. senators were Republicans and

the rest were Democrats or Independents. Twenty-one percent of the senators were

females, and 47%of the senators were male Republicans. Suppose we select one of these

senators at random. Define events R: is a Republican and M: is male.

a. Find P(R 鈭 M). Interpret this value in context.

b. Consider the event that the randomly selected senator is a female Democrat or

Independent. Write this event in symbolic form and find its probability.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.