A probability distribution function is defined by F(x) = \(\begin{cases} 0,\quad \quad \quad \quad x<0 \\ 1-{ e }^{ -3x },\quad x\ge 0 \end{cases}\) The probability density function is
f(x) = \(\begin{cases} 3{ e }^{ -3x },\quad x\ge 0 \\ 0,\quad \quad x<0 \end{cases}\)
f(x) = \(\begin{cases} 1-{ e }^{ -3x },\quad x\ge 0 \\ 0,\quad \quad x<0 \end{cases}\)
f(x) = 0 \(\forall \)x
f(x) =3e-3x, \(\infty\)<x<\(\infty\)