# Dan's Segment 27

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## To Calculate

1. These three problems were the in class activity for today, which was completed with Silu and Kkumar. The full solution can be found on Silu's page.

## To Think About

1. Taking the expression from problem three:

<math> = \int_0^\infty \prod_{i=1}^{1000}[\beta \exp({-\beta x_i})*c + \frac {2*(1-c)}{\pi(1+{x_i}^2)}]*P(c) dc </math>

We would have to insert the beta distribution for P(c), and I think the solution would then be to perform a double integral over all possible values of mu and nu.