Chebyshev's Inequality The Chebyshev inequality says that for any random variable X with expected value µ and stan- dard deviation ơ, Pr(μ-ησ X<μ + ισ) = 1. (a) Take n= 2. Apply the Chebyshev inequality to an expo- nential random variable. (b) By integrating, find the exact value of the probability in part (a).

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Chebyshev's Inequality The Chebyshev inequality says that
for any random variable X with expected value µ and stan-
dard deviation ơ,
Pr(μ-ησ X<μ + ισ) = 1.
(a) Take n= 2. Apply the Chebyshev inequality to an expo-
nential random variable.
(b) By integrating, find the exact value of the probability in
part (a).
Transcribed Image Text:Chebyshev's Inequality The Chebyshev inequality says that for any random variable X with expected value µ and stan- dard deviation ơ, Pr(μ-ησ X<μ + ισ) = 1. (a) Take n= 2. Apply the Chebyshev inequality to an expo- nential random variable. (b) By integrating, find the exact value of the probability in part (a).
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