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2. The time between incoming phone calls at a call center is a random variable with exponential density. There is a 50% probability of waiting 20 seconds or more between calls. Determine the value of r in the exponential density function and then find the average time between calls at this call center. Finally, determine the probability that a call will come in between 30 and 40 seconds after another call.

2. The time between incoming phone calls at a call center is a random variable with exponential density. There is a 50% probability of waiting 20 seconds or more between calls. Determine the value of r in the exponential density function and then find the average time between calls at this call center. Finally, determine the probability that a call will come in between 30 and 40 seconds after another call.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. The time between incoming phone calls at a call center is a random variable with exponential density. There is a 50% probability of waiting 20 seconds or more between calls. Determine the value of r in the exponential density function and then find the average time between calls at this call center. Finally, determine the probability that a call will come in between 30 and 40 seconds after another call.
Transcribed Image Text:2. The time between incoming phone calls at a call center is a random variable with exponential density. There is a 50% probability of waiting 20 seconds or more between calls. Determine the value of r in the exponential density function and then find the average time between calls at this call center. Finally, determine the probability that a call will come in between 30 and 40 seconds after another call.
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