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Mathematics, 18.03.2020 23:55 nickname0097

Exercise 3.44. Choose a point uniformly at random in that half of the unit disk that is to the right of the y-axis. In other words, choose a point uniformly at random from the set {(x, y) : x > 0,x2 +y2 < 1}. Let S be the slope of the line through the chosen point and the origin. (a) Find the cumulative distribution function of S. (b) Find the probability density function of S.

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