Let X be a continuous random variable such that E[X] < \infty and
P(X≥21+x)=P(X≤21−x) for all x∈R. Then
A
E(X)=21 and Median(X)=21
B
E(X) < \frac{1}{2} and Median(X)=21
C
E(X)=21 and \text{Median}(X) > \frac{1}{2}
D
E(X) < \frac{1}{2} and \text{Median}(X) > \frac{1}{2}
