[問題] 一題機率的問題
A particle A moves along the x-axis between 0 and 1 and particle B
moves along the y-axis between 0 and 1. The movements of particles
A and B are independent. If the location that particle A stops on
the x-axis is u1 and particle B stops on the y-axis is u2. Let X be
the area of the square(0<x<u1,0<y<u2). Let E(X) be the expected value
of X. Let M(X) be the expected value of X.
(a)Compute P( X>E(X) )
(b)Is E(X) larger than M(X)?
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