GATE ECE 2014 Set 1 | Question: 49

Question

Let $X$ be a real-valued random variable with $E[X]$ and $E[X^{2}]$ denoting the mean values of $X$ and $X^{2},$ respectively. The relation which always holds true is

• A. $(E[X])^{2}>E[X^{2}]$
• B. $E[X^{2}]\geq (E[X])^{2}$
• C. $E[X^{2}] = (E[X])^{2}$
• D. $E[X^{2}] > (E[X])^{2}$