etermine 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.   8 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? Not normally because the sampling method is independent but because of the 5% Guideline for Cumbersome Calculation Rule - so I can treat it as a Binomial Prob Dist...     A. ​No, because the experiment is not performed a fixed number of times.   B. ​No, because there are more than two mutually exclusive outcomes for each trial.   C. ​No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.   ( I think this is right because even the 5% cumbersome Calculation rule cant save us with # 50 senators and 8 is more than 5%?)   D.

MATLAB: An Introduction with Applications
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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.
 
8 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? Not normally because the sampling method is independent but because of the 5% Guideline for Cumbersome Calculation Rule - so I can treat it as a Binomial Prob Dist...
 
 
A.
​No, because the experiment is not performed a fixed number of times.
 
B.
​No, because there are more than two mutually exclusive outcomes for each trial.
 
C.
​No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.   ( I think this is right because even the 5% cumbersome Calculation rule cant save us with # 50 senators and 8 is more than 5%?)
 
D.
​Yes, because the experiment satisfies all the criteria for a binomial experiment.
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