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2. Homework 6.

## Today:

1. Convolution, including numerous examples of practical use.
2. Renal tumors.
3. Central limit theorem.
4. Abstraction and complexity.
5. Project time.

#### For next time:

1. Homework 7.
2. Draft report.

### Draft report

1) Turning in what you have, on time, is better than turning in something more complete, late.
2) Start with the simple stuff: one variable at a time, just characterize.
3) Don't sweep the anomalies!
4) Question, method, result, conclusion, repeat.
5) Remember the fundamentals: good presentation of numbers, tables and graphs.
6) Negative results are fine as long as the questions were reasonable.

Review the project page and my "suggestions."

### Homework 6

1) What happens if you convolve samples from different distributions?

Convolutions of exponential, normal, lognormal and Pareto distributions.

2) What happens if you add up a large number of independent random variates?

The Central Limit Theorem.  Does it always work?  How long does it take?

3) What happens if instead of adding up a bunch of independent random variables, we multiply them together?