The diagram shows the probability density function, $$\(\mathrm{f}(x)\)$$, of a random variable $$\(X\)$$. For $$\(0 \leqslant x \leqslant a\)$$,  $$\(\mathrm{f}(x)=k ;\)$$ elsewhere $$\(\mathrm{f}(x)=0\)$$. Express $$\(k\)$$ in terms of $$\(a\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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