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Example 1 Let X be uniform on [0,11,and let Y =VX. ■Note that for every y∈[o,l],we have FY(y)=P(Y≤y) =P(VX≤y) =P(X≤y2) =y2Example 1 ◼ Let 𝑋 be uniform on 0,1 , and let 𝑌 = 𝑋. ◼ Note that for every 𝑦 ∈ 0,1 , we have 𝐹𝑌 𝑦 = 𝑃 𝑌 ≤ 𝑦 = 𝑃 𝑋 ≤ 𝑦 = 𝑃 𝑋 ≤ 𝑦 2 = 𝑦 2
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