Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q. 13 (page 216)

Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in

South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean

region).

Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

Let N = the event that a country is in North America.

Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

Find P(E).

Short Answer

Expert verified

The solution isP(E)=47194=0.24

Step by step solution

01

Given

Weareprovidedthefollowinginformationinthegivenquestion:
North America has 23nations, South America has 12, Europe has 47countries, Asia has 44countries, Africa has 54countries, and Oceania has 14countries.
02

Concept used

Probabilityisametricfordetermininghowcertainweareoftheresultsofacertainexperiment.
Theprobabilityiscalculatedusingthefollowingformula:
Probability

=Fanorable number of casesTotal number of cases

If we flip a coin twice, the sample space associated with this random experiment is H H, H T, T H, T T, where T= tails and H= heads.
Let's say A= only has one tail.
Because localid="1648042490005" P(A)=24=0.5, there are two outcomes that favor the event A H T, T H.
03

Calculation

Let A= the event that a country is in Asia.

Let E= the event that a country is in Europe.

Let F= the event that a country is in Africa.

Let N=the event that a country is in North America.

Let O=the event that a country is in Oceania.

Let S= the event that a country is in South America.

Now to find the probability that a country is in Europe, the favorable number of cases is 47and total cases are 194. Therefore, the probability that a country is in Europe is:

localid="1648042519446" P(E)=47194=0.24

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Suppose that one person from the study is randomly selected. Find the probability that person smoked 11to20 cigarettes per day

A box is filled with several party favors. It contains 12

hats, 15 noisemakers, ten finger traps, and five bags of confetti.

Let H = the event of getting a hat.

Let N = the event of getting a noisemaker.

Let F = the event of getting a finger trap.

Let C = the event of getting a bag of confetti.

Find P(F).

Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean

region).

Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

Let N = the event that a country is in North America.

Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

Find P(N).

In words, explain what it means to pick one person from the study who is “Japanese American OR smokes21to30 cigarettes per day.” Also, find the probability.

On February 28,2013, a Field Poll Survey reported that 61%of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18to39year olds (California registered voters), the approval rating was 78%. Six in ten California registered voters said that the upcoming Supreme Court’s ruling about the constitutionality of California’s Proposition 8was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, 75%say the ruling is important to them.

In this problem, let: •

C = California registered voters who support same-sex marriage. • B = California registered voters who say the Supreme Court’s ruling about the constitutionality of California’s Proposition 8 is very or somewhat important to them • A = California registered voters who are 18to39years old.

a. Find P(C).

b. Find P(B).

c. Find P(C|A).

d. Find P(B|C).

e. In words, what is C|A?

f. In words, what is B|C?

g. Find P(C AND B).

h. In words, what is C AND B?

i. Find P(C OR B).

j. Are C and B mutually exclusive events? Show why or why not
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

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.

Sign-up for free