Determine the Probability of an Outcome of the Probability Density $f ( x ) = 4 x ^ { 3 }$

Short Answer

Determine the probability of an outcome of the probability density function $f ( x ) = 4 x ^ { 3 }$ being between $\frac { 1 } { 4 } \text { and } \frac { 1 } { 2 }$ where $0 \leq x \leq 1$ .
Enter just a reduced fraction.