Paper 7 October/November 2003 MATHEMATICH (9709/7) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The distance travelled, in kilometres, by a Grippo brake pad before it needs to be replaced is modelled by $10000X$, where $X$ is a random variable having the probability density function
$f\left( x \right) = \left\{ \begin{gathered} - k\left( {{x^2} - 5x + 6} \right)\,\,\,\,\,\,\,\,\,\,\,\,\,2 \leqslant x \leqslant 3, \hfill \\ 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,otherwise. \hfill \\ \end{gathered} \right.$
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