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QLDMath MethodsQuick questions

Unit 3: Further calculus and statistics

Quick questions on Discrete random variables, expected value and variance (QCE Mathematical Methods Unit 3)

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 are random variables?
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A random variable XX assigns a numerical value to each outcome of a probability experiment. A random variable is discrete if its possible values form a countable set (typically a list of integers).
What is expected value?
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The expected value (or mean) of XX is the probability-weighted average of its values:
What is the Bernoulli distribution?
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A Bernoulli trial has exactly two outcomes, labelled success (X=1X = 1) and failure (X=0X = 0), with probability pp of success.

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