If F(x) = 6x(1 - X) Is a Probability Density $$\left( \frac { 1 } { 2 } \leq X \leq 1 \right)$$

Short Answer

If f(x) = 6x(1 - x) is a probability density function for 0 ≤ x ≤ 1, find F(x), the corresponding cumulative distribution function and use it to find Pr $$\left( \frac { 1 } { 2 } \leq X \leq 1 \right)$$ .
Enter just a reduced fraction representing $\operatorname { Pr } \left( \frac { 1 } { 2 } \leq X \leq 1 \right)$ Do not label.