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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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Questions
Question 1
26853

For the probability density function:

\(f(x) = \left\{ {\begin{array}{*{20}{c}}{\frac{2}{{13}}({x^2} + 4),\,\,0 \le x \le 1}\\{0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,otherwise}\end{array}} \right.\)

Find the mean.

\(0.3462\)

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