Exam-style question
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A fixed number of independent trials each have two outcomes and constant probability of success. Which distribution model is appropriate?.
- A.a binomial model is appropriate
- B.2a
- C.1a^2
- D.1a
Model answer
What a good answer should say
- The correct answer is a binomial model is appropriate.
This answer is tied to the objective: N2 Understand and use the Normal distribution as a model; find probabilities using the Normal distribution; link to histograms, mean, standard deviation, points of inflection and the binomial distribution..
Explanation
Why this works
Use the explanation to connect the worked answer back to N2 Understand and use the Normal distribution as a model; find probabilities using the Normal distribution; link to histograms, mean, standard deviation, points of inflection and the binomial distribution..
The distractors change the result or the form of the answer. The canonical solution reaches a binomial model is appropriate, so a binomial model is appropriate is the only option consistent with the working.
Maths method check
- Topic focus: Statistics.
- Question style: practice.
- Reasoning demand: application.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.