Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

At times that form a Poisson process at rate = 25 (per hour), people rent a Citibike, and independently they use it for a random

At times that form a Poisson process at rate = 25 (per hour), people rent a Citibike, and independently they use it for a random amount of time distributed as continuous Uniform(0,8) (hours) then return it. Assume initially, at

time t= 0, there were no Citibikes rented out, and also assume that there are an unlimited number of Citibikes

Suppose that instead of each person having the same rental distribution time,

each person, independently with probability p= 0 .2 has a Uniform (0,8) distribution while with probability 0.8 has an exponential distribution at rate 1/4. What is the probability that at time t= 1 there are 20 Citibikes rented out with the exponential rental times given that there are 30 rented out at time t= 1 with the Uniform (0,8) distribution?

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Elementary Theory Of Numbers

Authors: William J LeVeque

1st Edition

0486150763, 9780486150765

More Books

Students also viewed these Mathematics questions