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.)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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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.)

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