Question:

Let (𝑋, π‘Œ) be a random vector having the joint probability density function
𝑓(π‘₯,𝑦)={ 𝛼 |π‘₯| , if π‘₯ 2≀ 𝑦≀ 2π‘₯2 ,βˆ’1≀π‘₯≀ 1,0 , otherwise ,
where 𝛼 is a positive constant. Then, 𝑃(𝑋 > π‘Œ) equal

Updated On: Oct 1, 2024
  • \(\frac{5}{48}\)
  • \(\frac{7}{48}\)
  • \(\frac{5}{24}\)
  • \(\frac{7}{24}\)
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The Correct Option is B

Solution and Explanation

The correct option is (B): \(\frac{7}{48}\)
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