Question

The table describes the voters in a certain district. Assume a voter is chosen at random. Find the following probabilities. Republican Democrat Independent Male 7 12 2 Female 87 27 2 a. The probability that the voter is a Republican is . (Type an integer or decimal rounded to three decimal places as needed.) b. The probability that the voter is male is . (Type an integer or decimal rounded to three decimal places as needed.) c. The probability that the voter is male, given that they are a Republican is . (Type an integer or decimal rounded to three decimal places as needed.) d. The probability that the voter is a Republican given that they are male is . (Type an integer or decimal rounded to three decimal places as needed.)

          The table describes the voters in a certain district. Assume a voter is chosen at random. Find the following probabilities.
Republican Democrat Independent
Male 7 12 2
Female 87 27 2
a. The probability that the voter is a Republican is .
(Type an integer or decimal rounded to three decimal places as needed.)
b. The probability that the voter is male is .
(Type an integer or decimal rounded to three decimal places as needed.)
c. The probability that the voter is male, given that they are a Republican is .
(Type an integer or decimal rounded to three decimal places as needed.)
d. The probability that the voter is a Republican given that they are male is .
(Type an integer or decimal rounded to three decimal places as needed.)
        
Show more…
The table describes the voters in a certain district. Assume a voter is chosen at random. Find the following probabilities.
Republican Democrat Independent
Male 7 12 2
Female 87 27 2
a. The probability that the voter is a Republican is .
(Type an integer or decimal rounded to three decimal places as needed.)
b. The probability that the voter is male is .
(Type an integer or decimal rounded to three decimal places as needed.)
c. The probability that the voter is male, given that they are a Republican is .
(Type an integer or decimal rounded to three decimal places as needed.)
d. The probability that the voter is a Republican given that they are male is .
(Type an integer or decimal rounded to three decimal places as needed.)

Added by Lauren W.

Close

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
The table describes the voters in a certain district. Assume a voter is chosen at random. Find the following probabilities. a. The probability that the voter is a Republican is . (Type an integer or decimal rounded to three decimal places as needed.) b. The probability that the voter is male is . (Type an integer or decimal rounded to three decimal places as needed.) c. The probability that the voter is male, given that they are a Republican is . (Type an integer or decimal rounded to three decimal places as needed.) d. The probability that the voter is a Republican given that they are male is . (Type an integer or decimal rounded to three decimal places as needed.)
Close icon
Play audio
Feedback
Powered by NumerAI
Kathleen Carty David Collins
Ivan Kochetkov verified

Qudsiya Anis and 91 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
the-following-table-gives-the-gender-and-political-affiliation-of-100-randomly-selected-voters-at-a-voting-site-suppose-you-select-a-voter-at-random-from-that-voting-site-answer-the-followin-13423

The following table gives the gender and political affiliation of 100 randomly selected voters at a voting site. Suppose you select a voter at random from that voting site. Answer the following questions a-e. Republican: Men 29, Woman 26 Democrats: Men 20, Woman 10 Independents: Men 9, Woman 6 A- What is the probability that you select a woman? (Type an integer or a simplified fraction.) B- What is the probalility tha you select an independent? (Type an integer or a simplified fraction.) C- What is the probability that you do not select a Republican? (Type an integer or a simplified fraction.) D- what is the probability that you select a male independent? (Type an integer or a simplified fraction.) E- what is the probability that you select someone who is nota male Republican? (Type an integer or a simplified fraction.)

Jerelyn N.

the-following-table-gives-the-gender-and-political-affiliation-of-100-randomly-selected-voters-at-a-voting-site-suppose-you-select-a-voter-at-random-from-that-voting-site-answer-the-followin-46803

The following table gives the gender and political affiliation of 100 randomly selected voters at a voting site. Suppose you select a voter at random from that voting site. Answer the following questions a-e. Women Men Republicans 27 23 Democrats 24 10 Independents 9 7 a. What is the probability that you select a man? (Type an integer or a simplified fraction.) b. What is the probability that you select a woman? (Type an integer or a simplified fraction.) c. What is the probability that you select an Independent? (Type an integer or a simplified fraction.) d. What is the probability that you do not select a Democrat? (Type an integer or a simplified fraction.) e. What is the probability that you select a male Democrat? (Type an integer or a simplified fraction.) f. What is the probability that you select someone who is not a male Independent? (Type an integer or a simplified fraction.)

Joshua A.

the-table-gives-the-average-number-of-voters-in-a-certain-city-in-each-of-three-political-parties-during-the-last-12-years-along-with-the-average-number-that-voted-in-presidential-elections-18118

The table gives the average number of voters in a certain city in each of three political parties during the last 12 years, along with the average number that voted in presidential elections during this period. Political Party Republican Democratic Independent Registered voters 4500 6100 2200 Voted 2925 2379 1100 (a) For each political party, use these data to find the probability that a person selected at random from the registered voters in the party will vote in the next election. (Enter your probabilities as fractions.) Pr(Republican will vote) Pr(Democrat will vote) Pr(Independent will vote) (b) For which party is the probability highest? Republican Independent Democrat

Qudsiya A.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,570 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,752 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,329 solutions

*

Transcript

-
00:01 All right, so in the given question, we have been provided a data.
00:04 Now, from this we have to compute the probability.
00:07 So the first probability is that what is the probability that the voter is a republican? so this is equal to the number of republicans, that is 94 divided by the total size of the sample, which is 137.
00:22 Right.
00:23 So this is equal to 0 .6861.
00:30 Right.
00:30 The next part of the question, it says that what is the probability that a selected voter is a male.
00:37 Right? so the probability that it's a male, this will be equal to the total number of male, which is 21 divided by the total size, that is 21 divided by 137.
00:48 So this is equal to 0 .1533...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever