Let X∼Uniform(0,1)X \sim \text{Uniform}(0, 1)X∼Uniform(0,1). Find the expected value of X2(1−X)2X^2(1-X)^2X2(1−X)2.
130\frac{1}{30}301
16\frac{1}{6}61
112\frac{1}{12}121
120\frac{1}{20}201