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Year 12 Methods (Unit 3 & 4) Continuous random variables

Mean and median for a continuous random variable

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Question 1
194511
A continuous random variable \(X\) has probability density function \[f(x)=\begin{cases}\dfrac{x}{2}, & 0\le x\le 2
[2pt] 0, & \text{otherwise}\end{cases}\] Find the mean \(\mu=E(X)\).
\(\dfrac{4}{3}\)

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