\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The random variable \(X\) represents the number of car accidents a driver has in a year. The probability distribution for \(X\) is shown below:
\(x\) (accidents) 0 1 2 3
\(P(X = x)\) 0.7 0.2 0.08 0.02
Calculate the standard deviation \(\sigma(X)\), which shows how much the number of car accidents typically varies from the average per year (
! e \(\pi\) ( ) % AC sin cos tan 7 8 9 / \(\sin^{-1}\) \(\cos^{-1}\) \(\tan^{-1}\) 4 5 6 * \(x^2\) \(\sqrt{\phantom{2}}\) xy 1 2 3 - ln exp log 0 . = +
and round to two decimal places).
\(\sigma(X) = \)