The velocity of the particle in a medium has Maxwell density such that f(v)=bv exp(-v/c) u(v)...

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The velocity of the particle in a medium has Maxwell density such that f(v)=bv² exp(-v²/c) u(v) where u(v) is unit-step function and b, c>0 Obtain E{v} = ? and ₂ = E{v²} = ? in terms of b, c Use auxiliary RV x -N(0, o) and the U4 = E{ x4} must be found by Moment Generating Function for x is given as Þ (s) = exp (o² s²/2) The velocity of the particle in a medium has Maxwell density such that f(v)=bv² exp(-v²/c) u(v) where u(v) is unit-step function and b, c>0 Obtain E{v} = ? and ₂ = E{v²} = ? in terms of b, c Use auxiliary RV x -N(0, o) and the U4 = E{ x4} must be found by Moment Generating Function for x is given as Þ (s) = exp (o² s²/2)