Class summary:
Friday, 4/25
I wrapped up the general discussion of joint distributions by
working out two problems: The first dealt with the probability that
n independent random numbers selected uniformly from the interval [0,1] are in
increasing order. The answer is 1/n!, which is what one would expect if
one makes the plausible assumption that each of the n! possible
orderings is equally likely. I gave a rigorous derivation of this
answer by evaluating
an appropriate n-fold integral over the region x1<x2<...<xn
inside the n-dimensional unit cube.
The second problem consisted of several computations with a given
joint density function.
Exam 3: The final hour exam will be Friday, May 2. It will
include the material covered since the last exam through the end of
Chapter 4, but not Chapter 5.
A detailed Exam Review Guide is now
available.
4/25/03: Solutions to the Double
Integrals Handout. A link to a pdf file with
solutions to the problems on
the Double Integrals handout.
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