From the point ((0, a)) draw a straight line at an angle (varphi) to the (y)-axis. Find

Question:

 From the point \((0, a)\) draw a straight line at an angle \(\varphi\) to the \(y\)-axis. Find the distribution function for the abscissa of the point of intersection of this line with the \(x\)-axis if

(a) the angle \(\varphi\) is uniformly distributed in the interval \(\left(0, \frac{\pi}{2}\right)\);

(b) the angle \(\varphi\) is uniformly distributed in the interval \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\).

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Related Book For  book-img-for-question

Theory Of Probability

ISBN: 9781351408585

6th Edition

Authors: Boris V Gnedenko

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