A certain test contains 10 multiple-choice problems. For five of the problems, there are four possible answers, and for the other five there are only three possible answers. X is the number of correct answers a student gets by pure guessing. Does X have a binomial distribution? No, because there are more than two possible outcomes for each trial. No, because the probability of success for each trial is not the same. Yes. No, because the trials are not all independent. No, because there is not a fixed number of trials.

MATLAB: An Introduction with Applications
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A certain test contains 10 multiple-choice problems. For five of the problems, there are four possible
answers, and for the other five there are only three possible answers. X is the number of correct answers a
student gets by pure guessing.
Does X have a binomial distribution?
No, because there are more than two possible outcomes for each trial.
O No, because the probability of success for each trial is not the same.
Yes.
No, because the trials are not all independent.
No, because there is not a fixed number of trials.
Transcribed Image Text:A certain test contains 10 multiple-choice problems. For five of the problems, there are four possible answers, and for the other five there are only three possible answers. X is the number of correct answers a student gets by pure guessing. Does X have a binomial distribution? No, because there are more than two possible outcomes for each trial. O No, because the probability of success for each trial is not the same. Yes. No, because the trials are not all independent. No, because there is not a fixed number of trials.
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