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cse63146
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Homework Statement
Suppose that a point [tex](X_1 , X_2 , X_3)[/tex] is chosen at random, that is, in accordance with the uniform probability function over the following set S:
[tex]S = {(x_1, x_2, x_3) : 0 \leq x_i \leq 1 for i =1,2,3}[/tex]
Determine [tex]P[(X_1 - 1/2)^2 + (X_2 - 1/2)^2 + (X_3 - 1/2)^2) \leq 1/4] [/tex]
Homework Equations
The Attempt at a Solution
Not sure how to set this up. Any suggestions/hints?