In a simple model of a cellular telephone system

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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 FR(r) and PDF fR(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 fX (x)?

(b) What is the marginal PDF fY (y)?

Reference no: EM131084636

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