Let x and y be two independent uniform 0 1 random variables, Basic Statistics

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Let x and y be two independent uniform 0 1 random variables

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.

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Basic Statistics: Let x and y be two independent uniform 0 1 random variables

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Basic Statistics: Let x and y be two independent uniform 0 1 random variables

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