A student answers an online multiple-choice quiz until they have answered incorrectly three times. The questions get progressively harder, so the probability of answering incorrectly increases with each question.
Is it appropriate to model the number of questions answered until the student makes three incorrect answers as a negative binomial random variable? Select all that apply:

Question

A student answers an online multiple-choice quiz until they have answered incorrectly three times. The questions get progressively harder, so the probability of answering incorrectly increases with each question.

Is it appropriate to model the number of questions answered until the student makes three incorrect answers as a negative binomial random variable? Select all that apply:

Answer

No, because the student may get nervous if they make a mistake and do worse afterwards. Thus, trials are not independent.

Answer

Yes, because we are counting attempts until a certain number of "successes" are reached.

Answer

No, because the probability of answering incorrectly changes with each question.

Answer

Yes, because the number of incorrect answers sought is fixed.

Crowdly

A student answers an online multiple-choice quiz until they have answered incorr...

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