Assume your 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 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.

Assume your 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 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.

Name: local gym has only one treadmill machine for cardio exercises. Suppos
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: local gym has only one treadmill machine for cardio exercises. Supposeexponential interarrival times with mean of 2 per hour, and exponential usage times withmean of 30 minutes per customer. Suppose a person has just arrived at 12.00 noon to useAssu

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...

See similar textbooks

Similar questions

Your website receives one hit every 11 minutes on average. The times between successive hits follow an exponential distribution. What is the probability that at least 5 minutes pass between two successive hits? (Provide your answer as a number between 0 and 1, rounded to 3 decimal places.)
Please answer all parts and round your answers to 5th decimal place. Thank you!
As a data analyst, I received requests at a rate of 1 every 25 minutes, exponentially distributed. Determine the probability that the interval between succeedingmessages is more than 1 hour
Please use excel formulas when possible: You have a device that uses a single battery, and you operate this device continuously, never turning it off. Whenever a battery fails, you replace it with a brand new one immediately. Suppose the lifetime of a typical batteryhas an exponential distribution with mean 205 minutes. Suppose you operate the device continuously for three days, making battery changes when necessary. Find the probability that you will observe at least 25 failures. (Hint: The number of failures is Poisson distributed.) In the previous problem, we ran the experiment for a certain number of days and then asked about the number of failures. In this problem, we take a different point of view. Suppose you operate the device, starting with a new battery, until you have observed 25 battery failures. What is the probability that at least 15 of these 25 batteries lived at least 3.5 hours? (Hint: Each lifetime is exponentially distributed
We state that the battery of a type of pos device shows an exponential distribution with an average life span of five years in standard use. What is the probability that a user who uses the POS device for three years without battery problem will encounter a battery problem within the next year?
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?
Please explain
It is known to show an exponential distribution where the average lifespan of a type of CPU is ten years. What is the probability that the company that leases the server for ten years will encounter a central processing unit failure within the period of use?
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 that the lifetime of a soft white light bulb follows an exponential distribution with expected value 300 hours, and the lifetime of an bright white light bulb follows an exponential distribution with expected value 700 hours, and the two lifetimes are independent. If we start using both light bulbs at the same time, then what is the probability that the soft white light bulb will burn out before the bright white light bulb?
The probability that at a filling station one has to wait more than 7 minutes for the service is 0.14. Given the waiting time is exponentially distributed find the probability that we are served in 3 minutes after arrival.