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Example 1 Let X be uniformly distributed in the interval0,4 and note that E[X]=2. Then,the Markov inequality asserts that 2 PX≥2),2=1 2 P(X≥3)≤。=0.67. PX≥4)≤4=0.5.Example 1 • Let 𝑋 be uniformly distributed in the interval [0,4] and note that 𝐸[𝑋] = 2. • Then, the Markov inequality asserts that 𝑃 𝑋 ≥ 2 ≤ 2 2 = 1. 𝑃 𝑋 ≥ 3 ≤ 2 3 = 0.67. 𝑃 𝑋 ≥ 4 ≤ 2 4 = 0.5. 4
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