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.
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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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...
No, because the experiment is not performed a fixed number of times.
No, because there are more than two mutually exclusive outcomes for each trial.
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%?)
Yes, because the experiment satisfies all the criteria for a binomial experiment.
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