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. Nine 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. C 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 experiment is not performed a fixed number of times. O C. Yes, because the experiment satisfies all the criteria for a binomial experiment. O D. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.
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. Nine 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. C 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 experiment is not performed a fixed number of times. O C. Yes, because the experiment satisfies all the criteria for a binomial experiment. O D. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
Nine 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.
-C
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 experiment is not performed a fixed number of times.
O C. Yes, because the experiment satisfies all the criteria for a binomial experiment.
O D. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.
Expert Solution
Step 1
A Random variable , is said to follow binomial distribution if the probability mass function of
is,
Here n is total number of trails and p is the success probability.
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