Determine whether the given procedure results in a binomial distribution (or a distribution that can be trea as binomial). If the procedure is not binomial, identify at least one requirement that is not satisfied. Seven different senators from the current U.S. Congress are randomly selected without replacement and whether or not they've served over 2 terms is recorded. Does the probability experiment represent a binomial experiment? O A. No, because there are more than two mutually exclusive outcomes for each trial. O B. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial. O C. No, because the experiment is not performed a fixed number of times. O D. Yes, because the experiment satisfies all the criteria for a binomial experiment.
Determine whether the given procedure results in a binomial distribution (or a distribution that can be trea as binomial). If the procedure is not binomial, identify at least one requirement that is not satisfied. Seven different senators from the current U.S. Congress are randomly selected without replacement and whether or not they've served over 2 terms is recorded. Does the probability experiment represent a binomial experiment? O A. No, because there are more than two mutually exclusive outcomes for each trial. O B. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial. O C. No, because the experiment is not performed a fixed number of times. O D. Yes, because the experiment satisfies all the criteria for a binomial experiment.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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Transcribed Image Text:Determine whether the given procedure results in a binomial distribution (or a distribution that can be treated
as binomial). If the procedure is not binomial, identify at least one requirement that is not satisfied.
Seven different senators from the current U.S. Congress are randomly selected without replacement and
whether or not they've served over 2 terms is recorded.
Does the probability experiment represent a binomial experiment?
A. No, because there are more than two mutually exclusive outcomes for each trial.
B. No, because the trials of the experiment are not independent and the probability of success differs
from trial to trial.
C. No, because the experiment is not performed a fixed number of times.
D. Yes, because the experiment satisfies all the criteria for a binomial experiment.
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