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VICMath MethodsQuick questions
Unit 2
Quick questions on Bernoulli trials, sample data and simulation: VCE Math Methods Unit 2 Year 11
12short 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 being simulated (a Bernoulli trial with specified)?Show answer
2. Choose a random source. Calculator RAND, coin, dice. 3.
What is worked example. Simulating a free throw?Show answer
A basketball player has free-throw probability . Simulate 100 trials.
What is mean?Show answer
Sum of values divided by the number of values. Measures the centre.
What is median?Show answer
The middle value when data are ordered. Robust to outliers.
What is mode?Show answer
The most frequent value.
What is range?Show answer
Maximum minus minimum.
What is standard deviation?Show answer
Measures the spread (Unit 3 / 4 will formalise).
What are law of large numbers?Show answer
As grows, the observed relative frequency tends to the theoretical probability.
What are simulation with too few trials?Show answer
Small gives unreliable estimates. The agreement improves as .
What is q1?Show answer
A fair die is rolled; "success" is rolling a . In rolls, find the probability of exactly one . [3 marks]
What is q2?Show answer
A seed germinates with probability . Find the expected number that germinate from seeds. [2 marks]
What is q3?Show answer
Explain how observed relative frequency relates to theoretical probability as the number of trials increases. [2 marks]