# The Bank of America trends in Consumer Mobility Report indicates that in a typical day, 51% of users of mobile phones use their phone at least once per hour, 26% use their phone a few times per day, 8% use their phone morning and evening, and 13% hardly ever use their phones. The remaining 2% indicated that they did not know how often they used their mobile phone ( USA today, July 7, 2014). Consider a sample of 150 mobile phone users. a. What is the probability that at least 70 use their phone at least once per hour? b. What is the probability that at least 75 but less than 80 use their phone at least once per hour? c. What is the probability that less than 5 of the 150 phone users do not know how often they use their phone?

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section
Chapter 6.3, Problem 31E
Textbook Problem
1504 views

## The Bank of America trends in Consumer Mobility Report indicates that in a typical day, 51% of users of mobile phones use their phone at least once per hour, 26% use their phone a few times per day, 8% use their phone morning and evening, and 13% hardly ever use their phones. The remaining 2% indicated that they did not know how often they used their mobile phone (USA today, July 7, 2014). Consider a sample of 150 mobile phone users. a. What is the probability that at least 70 use their phone at least once per hour? b. What is the probability that at least 75 but less than 80 use their phone at least once per hour? c. What is the probability that less than 5 of the 150 phone users do not know how often they use their phone?

Expert Solution

a.

To determine

Find the probability that at least 70 use phone at least once per hour.

### Explanation of Solution

Calculation:

In report of bank of America trends in consumer mobility, the 51% of mobile users use their phone at least once per hour, 26% use their phone a few times a day, 8% use their phone morning and evening in a day and 13% use hardly ever their phones. The 2% users did not know how often they use their phone.

The formula for mean in binomial distribution is,

μ=np

The value of mean is,

μ=150×0.51=76.5

The formula for standard deviation is,

σ=np(1p)

The value of standard deviation is,

σ=150×0.51(10.51)=150×(0.51×0.49)=37.485=6.1225

Continuity correction:

The binomial probability is converted to a normal probability by using the continuity correction.

If the binomial probability represents “fewer than c” then the normal probability is P(x<c0

Expert Solution

b.

To determine

Find the probability of at least 75 but less than 80 users are in the category at least once per hour.

Expert Solution

c.

To determine

Find the probability of less than 5 users do not know how often they use their phone.

### Want to see the full answer?

Check out a sample textbook solution.See solution

### Want to see this answer and more?

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

See solution

Find more solutions based on key concepts
Show solutions
What are demand deposits and why should they be included in the stock of money?

Brief Principles of Macroeconomics (MindTap Course List)

Discuss the similarities and differences between the discounted dividend and corporate valuation models.

Fundamentals Of Financial Management, Concise Edition (mindtap Course List)

What are the major elements of design planning?

Foundations of Business (MindTap Course List)

Indicate whether the following instruments are examples of money market or capital market securities. a. U.S. T...

Fundamentals of Financial Management, Concise Edition (with Thomson ONE - Business School Edition, 1 term (6 months) Printed Access Card) (MindTap Course List)

How are the three financial statements shown in this chapter connected?

College Accounting (Book Only): A Career Approach

Find each or the followin.tt values for the distribution shown in the following polygon. a. n b. X c. X2

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Solve the equations in Exercises 126. (x2+1)x+1(x+1)3=0

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 25-30, find the rules for the composite functions f g and g f. 28. f(x)=2x+3;g(x)=x2+1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

The graph of y = f(3x) is obtained from the graph of y = f(x) by: stretching vertically by a factor of 3. compr...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

An iterated integral for the volume of the solid shown is:

Study Guide for Stewart's Multivariable Calculus, 8th

3. Find the minimum value of subject to the constraint .

Mathematical Applications for the Management, Life, and Social Sciences

Solve the following problems and reduce to lowest terms. 13.

Contemporary Mathematics for Business & Consumers

Systems That May Be Solved by Hand or With Technology The system of equations in Exercises S-7 through S-22may ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

29. Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)