1. Let the random variable X be the time in seconds between incoming telephone calls at a busy switchboard. Suppose that a reasonable probability model for X is given by the pdf: -x/4 4 for 0

1. Let the random variable X be the time in seconds between incoming telephone calls at a<br>busy switchboard. Suppose that a reasonable probability model for X is given by the pdf:<br>-x/4<br>4<br>for 0< x< +∞<br>fx(x) =<br>elsewhere<br>Verify that fx (x) satisfies the two properties of a pdf. Calculate the probability that the time<br>between successive phone calls exceeds 4 seconds.<br>

Extracted text: 1. Let the random variable X be the time in seconds between incoming telephone calls at a busy switchboard. Suppose that a reasonable probability model for X is given by the pdf: -x/4 4 for 0<>< +∞="" fx(x)="elsewhere" verify="" that="" fx="" (x)="" satisfies="" the="" two="" properties="" of="" a="" pdf.="" calculate="" the="" probability="" that="" the="" time="" between="" successive="" phone="" calls="" exceeds="" 4="">

Jun 07, 2022

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1. Let the random variable X be the time in seconds between incoming telephone calls at a busy switchboard. Suppose that a reasonable probability model for X is given by the pdf: -x/4 4 for 0

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