A point is chosen at random from the region s in the

Reference no: EM13627125

A point is chosen at random from the region S in the xy-plane containing all points (x,y) such that -4 <= x <= 4, -1 <= y <= 1 and x-y >= 0 (at random means that the density function is constant on S).

(a) Determine the joint density function for x and y in S

p(x,y)=

(with p(x,y)=0 for all (x,y) not in S.)

(b) If T is a subset of S with area a, find the probability that a point (x,y) is in T.

probability =

Reference no: EM13627125

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