Example 2:Uninformative case let X be exponentially distributed with parameter=1,so that E[X]=var(X)=1. For c 1,using the Chebyshev inequality,we obtain P(x>c)= P(X-1≥c-1) ≤P(X-1≥c-1) ≤ (c-1)2Example 2: Uninformative case • let 𝑋 be exponentially distributed with parameter 𝜆 = 1, so that 𝐸[𝑋] = 𝑣𝑎𝑟(𝑋) = 1. • For 𝑐 > 1, using the Chebyshev inequality, we obtain 𝑃 𝑥 ≥ 𝑐 = 𝑃 𝑋 − 1 ≥ 𝑐 − 1 ≤ 𝑃 𝑋 − 1 ≥ 𝑐 − 1 ≤ 1 𝑐−1 2 8