Let X∼Uniform(0,1)X \sim \text{Uniform}(0, 1)X∼Uniform(0,1). Find the variance of the random variable Y=X(1−X)Y = X(1-X)Y=X(1−X).
1180\frac{1}{180}1801
136\frac{1}{36}361
1120\frac{1}{120}1201
190\frac{1}{90}901