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Age 16 to 18
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A variable $X$ is distributed in the interval $\{x:0 \leq x \leq 3\}$ according to the probability density function $$\rho(x) = {2\over 27}\big(6+x-x^2\big)$$ Find the mean, the median and the mode of the distribution.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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