Let X be the arrival time in minutes of the next redtraffic light on a certain delivery route. We model X using the exponential distributionwith parameter A = 0.2 red traffic lights per minute, X~Exp(0.2).(a) Calculate the probability that we drive for 2 minutes or more with no red trafficlights.(b) On average, how long can we drive with no red traffic lights?

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Answered: Let X be the arrival time in minutes of…

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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local gym has only one treadmill machine for cardio exercises. Suppose exponential interarrival times with mean of 2 per hour, and exponential usage times with mean of 30 minutes per customer. Suppose a person has just arrived at 12.00 noon to use Assume your the machine. What is the probability that the next arrival will come before 1.00 pm, between and after 2.00 pm? Note that you have to provide three 1.00 pm and 2.00 pm, answers, one for each. Suppose no customer arrives before 1.00 pm. What is the probability that the next arrival will come between 1.00 pm and 2.00 pm? What is the probability that the number of arrivals between 1.00 pm and 2.00 pm will be zero (one, more than one)?

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