§-Quick questions
NSWMaths Extension 1Statistical Analysis (ME-S1)
Quick questions on Bernoulli trials: definition, parameters, mean and variance
3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is recognising a Bernoulli model?Show answer
The examinable judgement is whether a described situation fits the Bernoulli model at all. Three conditions must hold: there is a single trial (or you are looking at one trial in a sequence), there are exactly two outcomes, and a fixed probability is attached to success. If the experiment has three or more outcomes, or a continuous range of outcomes, it is not Bernoulli. Where an outcome with many categories is reframed as "the event of interest happened, or it did not", a Bernoulli model is recovered.
What is mean is , not ?Show answer
is the mean number of trials until the first success (geometric distribution), which is a different model.
What is range of ?Show answer
. If a calculation gives or , something is wrong.
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