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

$$E\left[ {X{}^2} \right] \ge {\left( {E\left[ X \right]} \right)^2}$$

$${\left( {E\left[ X \right]} \right)^2} > E\left[ {X{}^2} \right]$$

$$E\left[ {X{}^2} \right] \ge {\left( {E\left[ X \right]} \right)^2}$$

$$E\left[ {X{}^2} \right] = {\left( {E\left[ X \right]} \right)^2}$$

$$E\left[ {X{}^2} \right] > {\left( {E\left[ X \right]} \right)^2}$$

GATE 2014 Electronics & Communication PYQ — Engineering Mathematics

GATE 2014Set 1PYQMCQanswer keyexplanation sooneasy

Engineering Mathematics · Probability & Stats

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Probability & Stats has appeared in GATE Electronics & Communication 71 times across 22 years (2020, 2021, 2023, 2024, 2025, ...).