Question: Let X and Y be two independent uniform (0, 1) random variables. Let M be the smaller of X and Y. Let 0 < x=""><>
a) Represent the event (M > x) as the region in the plane, and find P(M u x) as the area of this region.
b) Use your result in a) to find the c.d.f. and density of M. Sketch the graph of these functions.