Required informationThe time between requests to a web server is exponentially distributed with mean 0.400 seconds.Find the probability that there will be more than 1 request in a 1.5-second time interval. (Round the final answer to four decimal places.)

Given , The time between requests to a web server is exponentially distributed with mean , 0.400…

Answered: Required information The time between…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.4: Expected Value

Problem 20E

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Similar questions

Average Traffic Spacing The headway h is the average time between vehicles. On a highway carrying an average of 500 vehicles per flour, the probability P that the headway is at least t seconds is given by P=0.87t. a. What is the limiting value of P? Explain what this means in practical terms. b. The headway h can be calculated as the quotient of the spacing f, in feet, which is the average distance between vehicles, and the average speed v, in feet per second, of traffic. Thus, the probability that spacing is at least f feet is the same as the probability that the headway is at least f/v seconds. Use function composition to find a formula for the probability Q that the spacing is at least f feet. Note: Your formula will involve both f and v. c. If the average speed is 88 feet per second 60 miles per hour, what is the probability that the spacing between two vehicles is at least 40 feet?

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Required information The time between requests to a web server is exponentially distributed with mean 0.400 seconds. Find the probability that there will be more than 1 request in a 1.5-second time interval. (Round the final answer to four decimal places.)