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VICMath MethodsQuick questions

Unit 2: Functions, calculus and probability

Quick questions on Discrete random variables, expected value and variance (VCE Maths Methods Unit 2)

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 q1?
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A variable XX has P(X=0)=0.5P(X = 0) = 0.5, P(X=1)=0.3P(X = 1) = 0.3, P(X=2)=0.2P(X = 2) = 0.2. Find E[X]E[X]. [2 marks]
What is q2?
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For the same distribution, find Var(X)\text{Var}(X). [3 marks]
What is q3?
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A game gives net winnings XX: +\8withprobability with probability 0.25,, -\33 with probability 0.750.75. (a) Find E[X]E[X]. (b) Is the game favourable to the player?

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