Question:

Let 𝑋 be a continuous random variable such that 𝑃(𝑋 β‰₯ 0)=1 and π‘‰π‘Žπ‘Ÿ(𝑋)<∞ . Then, 𝐸(𝑋 2) is

Updated On: Oct 1, 2024
  • \(2 ∫^∞_0 π‘₯^2 𝑃(𝑋 > π‘₯) 𝑑x\)
  • \( ∫^∞_0 π‘₯^2 𝑃(𝑋 > π‘₯) 𝑑x\)
  • \(2∫^∞_0 π‘₯𝑃(𝑋 > π‘₯) 𝑑x\)
  • \(∫^∞_0 π‘₯ 𝑃(𝑋 > π‘₯) 𝑑x\)
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The Correct Option is C

Solution and Explanation

The correct option is (C): \(2∫^∞_0 π‘₯𝑃(𝑋 > π‘₯) 𝑑x\)
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