Let X be a random variable with cumulative distribution function
F(x)= \(\begin{cases} 0,\quad if\quad x\quad <\quad 0 \\ \frac { x }{ 8 } ,\quad if\quad 0\quad \le \quad x\quad <\quad 1 \\ \frac { 1 }{ 4 } +\frac { x }{ 8 } ,\quad if\quad 1\quad \le \quad x\quad <\quad 2 \\ \frac { 3 }{ 4 } +\frac { x }{ 12 } ,\quad if\quad 2\quad \le \quad x\quad <\quad 3 \\ 1,\quad for\quad 3\quad \le \quad x \end{cases}\)
(a) Compute (i) P(1\(\le\)X\(\le\)2) and (ii) P(X = 3).
(b) Is X a discrete random variable? Justify your answer.
