/*! 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. 124 Use the following information to... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 124 (page 231)

Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year) that are female is 48.60. Of the females, 5.03% are age 19 and under; 81.36% are age 20鈥�64; 13.61% are age 65 or over. Of

the licensed U.S. male drivers, 5.04% are age 19 and under; 81.43% are age 20鈥�64; 13.53% are age 65 or over.

Suppose that 10,000 U.S. licensed drivers are randomly selected.

a. How many would you expect to be male?

b. Using the table or tree diagram, construct a contingency table of gender versus age group.

c. Using the contingency table, find the probability that out of the age 20鈥�64 group, a randomly selected driver is female.

Short Answer

Expert verified

a. P(M)=0.514

b.


<2020鈥�64>64Totals
Female0.02440.39540.06610.486
Male0.02590.41860.06950.514
Totals0.05030.8140.13561

c.P(F20-64)=0.4857

Step by step solution

01

Given information

The percent of licensed U.S. drivers (from a recent year) that are female is 48.60.

Of the females, 5.03% are age 19 and under; 81.36% are age 20鈥�64; 13.61% are age 65 or over.

Of the licensed U.S. male drivers, 5.04% are age 19 and under; 81.43% are age 20鈥�64; 13.53% are age 65 or over.

02

(part a)

The male drivers are randomly selected and the probability is given by

P(M)=0.514

03

Explanation (part b)

a contingency table of gender versus age group is given by


<2020鈥�64>64Totals
Female0.02440.39540.06610.486
Male0.02590.41860.06950.514
Totals0.05030.8140.13561
04

Explanation (part c)

Using the contingency table, find the probability that out of the age 20鈥�64 group, a randomly selected driver is female.


<2020鈥�64>64Totals
Female0.02440.39540.06610.486
Male0.02590.41860.06950.514
Totals0.05030.8140.13561

P(F20-64)=Totalnumberoffemaledriversinage20-64totalnumberofdriversinage20-64P(F20-64)=0.39540.814P(F20-64)=0.4857

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

Approximately 86.5%of Americans commute to work by car, truck, or van. Out of that group, 84.6%drive alone and15.4%drive in a carpool. Approximately 3.9%walk to work and approximately5.3%take public transportation.

a. Construct a table or a tree diagram of the situation. Include a branch for all other modes of transportation to work.

b. Assuming that the walkers walk alone, what percent of all commuters travel alone to work?

c. Suppose that1,000 workers are randomly selected. How many would you expect to travel alone to work?

d. Suppose that 1,000 workers are randomly selected. How many would you expect to drive in a carpool?

Use the information in the Table3.19to answer the next eight exercises. The table shows the political party affiliation of each of localid="1649516803996" 67members of the US Senate In June localid="1649516807155" 2012. and when they are up freelection.

The events "Other" and "Up for reelection in November localid="1649516811372" 2016' are

a. mutually exclusive.

b. independent.

c. both mutually exclusive and independent.

d. neither mutually exclusive nor independent

A shelf holds 12books. Eight are fiction and the rest are nonfiction. Each is a different book with a unique title. The fiction books are numbered one to eight. The nonfiction books are numbered one to four. Randomly select one book

Let F = event that book is fiction

Let N = event that book is nonfiction

What is the sample space?

Suppose that you randomly draw two cards, one at a time, without replacement.

G1= first card is green

G2= second card is green

a. Draw a tree diagram of the situation.

b. Find P(G1ANDG2).

c. Find P(at least one green).

d. Find P(G2|G1).

e. Are G2 and G1 independent events? Explain why or why not

Fifty percent of the workers at a factory work a second job, 25% have a spouse who also works, 5% work a second job and have a spouse who also works. Draw a Venn diagram showing the relationships. Let W = works a second job and S = spouse also works.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

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.