A point is chosen uniformly at random from the circumference of a circle of diameter 1. Let X be the length of the chord joining the random point to an arbitrary fixed point on the circumference. Find the cdf of X. So X=2rsin(theta/2) r=1/2 X-sin(theta/2) P(sin(theta) < x)=P(theta < 2arcsinx)=F(x). I'm not sure where to go from here. I know that we will have to integrate. Any help would be appreciated. Thanks!
Find the cdf of X
1
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probability
statistics