1.If the inter-arrivals into a process are from a exponential distribution with mean of 30 minutes:If we Took at the number of customers arriving then what is the probability of 3 or morecustomers arriving in the next 4 hour?Other0.680.01370.99

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Answered: If the inter-arrivals into a process…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The time (in hours) until the next emergency arrival at a hospital follows an exponential distribution with a mean of 2.1 What is the probability that exactly 4 emergencies arrive in the next ten hours? (Assume arrival times are independent of each other.) What is the probability that at least four emergencies arrive within the next 10 hours?
The time until the graduates of a department find their first jobs after graduation follows an Exponential distribution with mean 10 months. The probability that a graduate of this department will not be able to find a job in 1.5 years is ..........
Q1
When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very popular. A small bus can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 20 minutes. Assume that each caller orders one ticket. What is the probability that the bus is filled in less than 3 hours from the time of the fare reduction? Round your answer to 4 decimal places. i
The useful life of Johnson rods for use in a particular vehicle follows an exponential distribution with an average useful life of 5.2 years.You have a three-year warranty on your vehicle’s Johnson rod. What is the probability that the Johnson rod doesn’t fail before then? That is, what is the probability that its useful life doesn’t end before three years?b.If the vehicle manufacturer wants to limit the number of claims on the three-year warranty to 20%, what should the average useful life of the Johnson rod be?
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The time between failures of our video streaming service follows an exponential distribution with a mean of 40 days. Our servers have been running for 17 days, What is the probability that they will run for at least 97 days? (clarification: run for at least another 80 days given that they have been running 17 days). Report your answer to 3 decimal places.
Suppose 5 students are going to take a test independently from each other and that the number of minutes that any student needs to finish the exam has an exponential distribution with mean 80.If the test starts at 9 a.m., determine the probability that at At least one of the students finishes the exam before 9:40 am.
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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If the inter-arrivals into a process are from a exponential distribution with mean of 30 minutes: If we Took at the number of customers arriving then what is the probability of 3 or more customers arriving in the next 4 hour? Other 0.68 0.0137 099