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. Six 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 the trials of the experiment are not independent and the probability of success differs from trial to trial. B. No, because there are more than two mutually exclusive outcomes for each trial. 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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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.
Six 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 the trials of the experiment are not independent and the probability of success differs from trial to trial.
B. No, because there are more than two mutually exclusive outcomes for each trial.
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.
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. Six 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 the trials of the experiment are not independent and the probability of success differs from trial to trial. B. No, because there are more than two mutually exclusive outcomes for each trial. 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.
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