In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was 1/5, and therefore the probability that the Democratic candidate would be elected was 4/5 (the two Independent candidates were given no chance of being elected). It was also estimated that if the Republican candidate were elected, the probability that a conservative, moderate, or liberal judge would be appointed to the Supreme Court (one retirement was expected during the presidential term) was 1/5, 1/5, and 3/5, respectively. If the Democratic candidate were elected, the probabilities that a conservative, moderate, or liberal judge would be appointed to the Supreme Court would be 2/9, 1/3, and 4/9, respectively. A conservative judge was appointed to the Supreme Court during the presidential term. What is the probability that the Democratic candidate was elected? (Round your answer to three decimal places.)

In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was 1/5, and therefore the probability that the Democratic candidate would be elected was 4/5 (the two Independent candidates were given no chance of being elected). It was also estimated that if the Republican candidate were elected, the probability that a conservative, moderate, or liberal judge would be appointed to the Supreme Court (one retirement was expected during the presidential term) was 1/5, 1/5, and 3/5, respectively. If the Democratic candidate were elected, the probabilities that a conservative, moderate, or liberal judge would be appointed to the Supreme Court would be 2/9, 1/3, and 4/9, respectively. A conservative judge was appointed to the Supreme Court during the presidential term. What is the probability that the Democratic candidate was elected? (Round your answer to three decimal places.)

Name: In a past presidential election, it was estimated that the probabilit
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was1/5, and therefore the probability that the Democratic candidate would be elected was 4/5 (the two Independentcandidates were gi

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: on an uninfected person. What is the probability that a randomly tested person from this area will…

A: given that

Q: Suppose 59% of vegetarians are women. Suppose a random sample of 500 vegetarians is taken. What is…

A: Answer: From the given data, Population proportion of vegetarians who are women (P) = 59% = 0.59…

Q: The World Economic Forum found that 12% of the U.S. population earns more than $2M per year. Amazon…

Q: Your daughter is a teacher in a state university. As per her class rule, the probability of not…

A: Given

Q: In the first quarter of 2013, company A held approximately 76% of the wireless phone market in a…

Q: Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and…

Q: On a particular manufacturing job, the probability that there will be a shortage of copper is 0.37.…

A: Solution: Let A be the event that shortage of copper and B the event that shortage of aluminium.…

Q: Sam is an archer and hits targets with 70% accuracy. If shots are independent of each other, what is…

A: Given Sam is an archer and hits targets with 70% accuracy and shots are independent of each other.…

Q: A jar contains green wrapped candies and yellow wrapped candies. A person selects two wrapped…

Q: In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks.…

A: Given in 2013, the total sales from 3 different car production companies was 606,334 cars or light…

Q: Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and…

A: Giventhe probability that Napoleon and Pedro make it to their first period class on time = 0.46The…

Q: If the percentage of sulfate-resistant concrete pieces in one of the factories is 25%, how many…

Q: Two students are working as part-time proofreaders for a local newspaper. Based on previous aptitude…

Q: What is the probability that Napoleon and Pedro catch the bus and make it to their first period…

Q: A component of a spacecraft has both a main system and a backup system operating throughout a…

A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a…

Q: Suppose a county's recent health report gives a pet allergy prevalence of Pet allergy Test result…

A: Given in the diagram- P(pet allergy)=0.23P(no pet allergy)=0.77 When test is conducted then the test…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: The given Information can be depicted as follows: During any month Begin smoking 1…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: Given, Total population : 10000 Nonsmokers : 5000 Smokers of one pack or less per day : 2500…

Q: In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks.…

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: Let us denote: Tampa Bay Buccaneers will score a touchdown on their opening drive = A the defense…

Q: An examination consists of two papers , Paper 1 and Paper 2 . The probability of failing in Paper 1…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: The given transition matrix in this case is Non-smokers Smokers 1 pack per day or less Smokers…

Q: In a clinical trial, 3% of the patients in the study experienced fatigue as a side effect. Suppose…

A: Given that n=20 , p=3%=0.03 , q=1-p=1-0.03=0.97 X~Binomial(n=20 , p=0.03) X=Number of the patients…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: The number of non-smokersThe number of smokers of one pack or less per dayThe number of smokers of…

Q: The analyst determines that the probability of sales exceeding 150,000 was 0.331, the probability of…

Q: Your son is a teacher in a state university. As per her class rule, the probability of not getting…

Q: A jet fighter consists of two engines. The probability that the second engine functions in a…

A: A is the event that shows the first engine functions in a satisfactory manner during its design…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was
1/5, and therefore the probability that the Democratic candidate would be elected was 4/5 (the two Independent
candidates were given no chance of being elected). It was also estimated that if the Republican candidate were elected, the
probability that a conservative, moderate, or liberal judge would be appointed to the Supreme Court (one retirement was
expected during the presidential term) was 1/5, 1/5, and 3/5, respectively. If the Democratic candidate were elected, the
probabilities that a conservative, moderate, or liberal judge would be appointed to the Supreme Court would be 2/9, 1/3,
and 4/9, respectively. A conservative judge was appointed to the Supreme Court during the presidential term. What is the
probability that the Democratic candidate was elected? (Round your answer to three decimal places.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Bryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete?
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 9% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)(a) in 1 month:nonsmokers:1 pack/day or less:more than 1 pack/day:(b) in 2 months:nonsmokers:1 pack/day or less:more than 1 pack/day:(c) in 1 year:nonsmokers:1 pack/day or less:more than 1 pack/day:
A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.97, and the probability that at least one if the two engines does so is 0.975 and the probability that both engine do so is 0.93. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
Brgy. Pallet has one Full Restore and one Max Revive available for emergencies. The probability that the Full Restore is available for use is 0.98 and the probability that the Max Revive is available for use is 0.92. Assuming that the availability of these items is independent of each other, what is the probability that both of these items are available for a Trainer to use?
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.37. The probability that Napoleon and Pedro catch the bus is 0.66. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.61. What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time?
In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.386, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.379, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)
A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)
In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.381, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.385, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.29. The probability that Napoleon and Pedro catch the bus is 0.87. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.81. What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time?
A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…
Suppose that if person with tuberculosis is given a TB screening, the probability that his or her condition will be detected is 0.90. If a person without tuberculosis is given a TB screening , the probability that he or she will be diagnosed incorrectly as having tuberculosis is 0.3. Suppose, further, that 11% of the adult residents of a certain city have tuberculosis. If one of these adults is diagnosed as having tuberculosis based on the screening, what is the probability that he or she actually has tuberculosis?
In the last week of the semester, Stéphane decides to “reward” the students by no longer limiting himself to 4 exercises and instead assigning every activity he writes. If a student with a 60% chance of correctly answering an exercise is expected to answer three correctly, what is the probability that Stéphane did not have a visitor that week?