Let X be a random variable that takes on values between 0 and c. That is, P{0
Question:
Show that
Var(X) ≤ c2/4
One approach is to first argue that
E[X2] ≤ cE[X]
and then use this inequality to show that
Var(X) ≤ c2[α(1 − α)] where α =E[X]/c
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Since 0 X c it follows that X 2 cX Hence VarX EX 2 EX 2 E...View the full answer
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