Answer
$σ_X=0.840$ sets.
Work Step by Step
$σ_X=\sqrt {Σ[x^2.P(x)-μ_X^2]}=\sqrt {3^2\times P(3)+4^2\times P(4)+5^2\times P(5)-3.864^2}=\sqrt {9\times0,4318+16\times0,2727+25\times0,2955-14.930496}=0.840$
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