These are my attempts to develop quantitative and rigorous (really ?) models to explain (and hence exploit) physical phenomena
that occur in the academic environment
Lesson #1 - Uniform Bound
Many professors say the exam is going to be easy while they actually mean that each question is going to be easy.
Don't be deceived by this. As we all know, if the difficulty of a question tends to 0, that does not necessarily imply
that the difficulty of union of N questions will tend to 0 as N goes to infinity (which does happen !!!)
Lesson #2 - Correlation
Exam questions are NOT i.i.d. Exploit this fact !
Question 3: Derive the form of the likelihood ratio confidence interval for t for Uniform(0, t)
Question 4: Show that [X(n),X(n)/a^(1/n)] is a confidence interval for t for Uniform (0, t)