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Where 1> 0 calls/second is the average arrival rate of telephone calls. Find the marginal PDFS fx(x) and fy(y) and the conditional PDFS fx[r(x\y) and fy|x(y|x).

Where 1> 0 calls/second is the average arrival rate of telephone calls. Find the marginal PDFS fx(x) and fy(y) and the conditional PDFS fx[r(x\y) and fy|x(y|x).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Problem #6 At noon on a weekday, we begin recording new call attempts at a telephone switch. Let X denote the arrival time of the first call, as measured by the number of seconds after noon. Let Y denote the arrival time of the second call. In the most common model used in the telephone industry, X and Y are continuous random variables with joint PDF S2²e-ay 0<x < y fxx(x, y) = otherwise Where 1 > 0 calls/second is the average arrival rate of telephone calls. Find the marginal PDFS fx(x) and fy(y) and the conditional PDFS fxjr(x\y) and fy|x(y|x).
Transcribed Image Text:Problem #6 At noon on a weekday, we begin recording new call attempts at a telephone switch. Let X denote the arrival time of the first call, as measured by the number of seconds after noon. Let Y denote the arrival time of the second call. In the most common model used in the telephone industry, X and Y are continuous random variables with joint PDF S2²e-ay 0<x < y fxx(x, y) = otherwise Where 1 > 0 calls/second is the average arrival rate of telephone calls. Find the marginal PDFS fx(x) and fy(y) and the conditional PDFS fxjr(x\y) and fy|x(y|x).
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