Suggest a right isoceles triangle with vertecies (0,0), (1,0), and (0,1). Let (X,0) be a point chosen uniformly on the side of the triangle that lies on the x-axis. Let Y be the distance from that chosen point (X,0) to vertex (0,1) on the Y axis.
a) What is the sample space for Y?
b) What is the probability density function for Y?
c) What is the cumulative distribution function for Y?