Stage: 5 Challenge Level: 
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.
Harmonic mean. Geometric mean. Mode. Golden ratio. Experimental probability. Discussion. Probability density functions. Maths in STEM. Median. Mean.
Published June 2006.
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