A: With extreme caution. For simple Poisson process problems, LLMs are decent. For renewal theory or Brownian motion, modern AI still makes logical leaps that are mathematically wrong. Always validate AI outputs with a textbook or professor.
A light bulb fails after exponential(mean 100 hrs) but is replaced immediately. Find the expected number of replacements in 500 hours.
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(Hitting times, variations, and the Ornstein-Uhlenbeck process) Chapter 9: Stochastic Order Relations
