\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A soccer player’s number of goals scored in a match is represented by the random variable \(X\). The probability distribution for \(X\) is shown below:
\(x\) (goals) 0 1 2 3
\(P(X = x)\) 0.6 0.1 0.1 0.3
Calculate the standard deviation \(\sigma(X)\), which shows how much the number of goals typically varies from the average per match (round at two decimal places).
\(\sigma(X)=\)