Lecture 12

Note text p163 eqn 4.42 is wrong.
{$$ VAR[X]= \frac{(b-a)^2}{12} $$}
Demo Maple random variables.
iClicker: What is the mean of a uniform random variable on the interval [1,3]?
- A: 0
- B: .5
- C: 1
- D: 2
- E: 3
iClicker: What is the variance of a uniform random variable on the interval [1,3]?
- A: 1/3
- B: .5
- C: 1
- D: 2
- E: 3
Exercise 3.92, p140.
Gaussian p167: {$ \Phi(X) $} is CDF of N(0,1).
Gamma r.v. is flexible, for reliability.
Beta r.v. flexible, for finite interval.
Pareto r.v. models distributions of money, packet sizes, etc. Its range has a min.
Markov and Chebyshev inequalities: limit how often extreme values can occur.