The random variable $$\(X\)$$ has probability density function f given by $$\[ \mathrm{f}(x)= \begin{cases}\frac{1}{21}(x-1)^{2} & 2 \leqslant x \leqslant 5 \\ 0 & \text { otherwise }\end{cases} \]$$ Find the probability density function of $$\(Y\)$$. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ .

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