Exam-style question
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Use a checking method for this problem: A fixed number of independent trials each have two outcomes and constant probability of success. Which distribution model is appropriate? State the final answer and verify it against the information in the question.
Model answer
What a good answer should say
- A valid checked answer is a binomial model is appropriate.
- The method is: Identify the model as a binomial distribution.
- Check there is a fixed number of trials.
- Check the trials are independent.
This answer is tied to the objective: N1 Understand and use simple discrete probability distributions, excluding calculation of mean and variance of discrete random variables; use the binomial distribution as a model and calculate probabilities using the binomial distribution..
Explanation
Why this works
Use the explanation to connect the worked answer back to N1 Understand and use simple discrete probability distributions, excluding calculation of mean and variance of discrete random variables; use the binomial distribution as a model and calculate probabilities using the binomial distribution..
calculator check keeps the canonical answer a binomial model is appropriate fixed before the model answer is written, so the worked solution and final answer agree.
Maths method check
- Topic focus: Statistics.
- Question style: exam_style.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
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