1   Exam 2

is replaced by a normal class.

2   Today

Radke's Engineering Probability Lecture 18: Sums of random variables and laws of large numbers.

Notes .

3   Mathematica

Today I will also (try to) demonstrate using Mathematica for the sum of 2 and 4 uniform random variables.

The pdf is a conditional, which is messy to work with by hand.

4   Homework

I will put a new homework online, due in a week.

5   Presentation ideas wanted

If another of your profs is using a remote teaching technique that you like, tell me. I might try it.

6   Watching lecture videos

Following the suggestion of some ECSE people, I've been uploading videos from Webex to Mediasite. I'm going to try just posting the Webex link for you. It will save me a step, and solve the impending problem of Mediasite running out of space soon. Tell me how you like this.

7   To watch before next class

Radke's Engineering Probability Lecture 19: The Central Limit Theorem.

8   Min, max of 2 r.v.

1. Example 5.43, page 274.

9   Chapter 6: Vector random variables, page 303-

1. Skip the starred sections.
2. Examples:
   1. arrivals in a multiport switch,
   2. audio signal at different times.
3. pmf, cdf, marginal pmf and cdf are obvious.
4. conditional pmf has a nice chaining rule.
5. For continuous random variables, the pdf, cdf, conditional pdf etc are all obvious.
6. Independence is obvious.
7. Work out example 6.5, page 306. The input ports are a distraction. This problem reduces to a multinomial probability where N is itself a random variable.