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In a simple model of a cellular telephone system, a portable telephone is equally likely to be found anywhere in a circular cell of radius 4 km. (See Problem 4.5.3.) Find the CDF F_R(r) and PDF f_R(r) of R, the distance (in km) between the telephone and the base station at the center of the cell.

Problem 4.5.3

Over the circle X² + Y² ≤ r², random variables X and Y have the uniform PDF

(a) What is the marginal PDF f_X (x)?

(b) What is the marginal PDF f_Y (y)?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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