Suppose X follows a Beta distribution with parameters \alpha=3 and \beta= 3. Compute P(X < 0.6). Use 4 significant figures.\\
$f(x) = \begin{cases} \frac{1}{B(\alpha,\beta)} x^{\alpha-1} (1 - x)^{\beta-1}, & 0 < x < 1, \\ 0, & \text{elsewhere.} \end{cases}$\\
$B(\alpha, \beta) = \int_0^1 x^{\alpha-1} (1 - x)^{\beta-1} dx = \frac{\Gamma(\alpha)\Gamma(\beta)}{\Gamma(\alpha + \beta)}, \text{ for } \alpha, \beta > 0,$ \\
$\Gamma(n) = (n - 1)! \text{ for a positive integer } n.$
