IND ENG 161 Study Guide - Midterm Guide: Poisson Point Process, Markov Chain, Exponential Distribution

• School: Berkeley
• Department: Industrial Engineering And Operations Research
• Course: IND ENG 161
• Professor: All

Document Summary

Midterm ii: [5+5+5] paris has 4 good friends, nikki, britney, lindsay, and stavros, and enjoys spending time with each of them. To add variety to her life, paris decides not to meet the same person on consecutive nights. Instead, she adopts a policy where if she goes out with one friend on a given evening, then she chooses equally between the other three for the next. For example, if she parties with lindsay on sunday night, then she parties with equal probability with. Each organism is alive for a random amount of time having an exponential distribution with rate before it dies. Find the probability that none of the organisms alive at time t were born before time s, where s < t.