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Statistics Question on Multivariate Distributions

Let (š‘‹, š‘Œ) be a random vector having the joint probability density function
š‘“š‘„,š‘¦={ š›¼ |š‘„| , if š‘„ 2ā‰¤ š‘¦ā‰¤ 2š‘„2 ,āˆ’1ā‰¤š‘„ā‰¤ 1,0 , otherwise ,
where š›¼ is a positive constant. Then, š‘ƒ(š‘‹ > š‘Œ) equal

A

548\frac{5}{48}

B

748\frac{7}{48}

C

524\frac{5}{24}

D

724\frac{7}{24}

Answer

748\frac{7}{48}

Explanation

Solution

The correct option is (B): 748\frac{7}{48}