4-40. Let X be a continuous random variable whose mean E(X) = and varianceV( X) =...
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4-40. Let X be a continuous random variable whose mean E(X) = μ and varianceV(
X) = σ2 exist. For anyε > 0 and small, verify that the (4.19) version of Chebyshev’s Theorem holds.
(Hint: start with V(X) = 4 +∞
−∞ (x − μ)2f (x)dx and let {X |−∞ < X < +∞} = {X |−∞ < X < μ− ε} ∪ {X |μ +ε < X < +∞}.)
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Related Book For
Advanced Statistics From An Elementary Point Of View
ISBN: 9780120884940
1st Edition
Authors: Michael J Panik
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