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\includegraphics[max width=\textwidth, alt={}, center]{c06524f0-a981-48a6-9af0-c4a3474396b3-06_394_723_258_705} The diagram shows the graph of the probability density function, f , of a random variable \(X\) which takes values between 0 and \(a\) only. It is given that \(\mathrm { P } ( X < 1 ) = 0.25\).

1. Find, in any order,
   (a) \(\mathrm { P } ( X < 2 )\),
   (b) the value of \(a\),
   (c) \(\mathrm { f } ( x )\).
2. Find the median of \(X\).