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In Problem 9, if you use Mathematica, instead of
f=1/(Pi(1+x^2))Log[Pi(1+x^2)];
Integrate[f,{x,-Infinity,Infinity}]
use
Activate[IntegrateChangeVariables[Inactive[Integrate][f,{x,-Infinity,Infinity}],t,t==ArcTan[x]]]
We noticed this in OH on Monday. Thanks to Wolfram support for the fix.

Mathematicians related to the CLT. Wait to see the names.

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Syllabus

Every time you enter the Math 154 casino, you pay an entrance fee of 20 Dollars. You win 2k dollars, if k head appear. You obviously see that 20 Dollars are too much. What would be fair? Play! and observe your winnings grow or fade below. Hit Restart to start from a clean slate.
You win Dollars Your total Dollars
The bank wins Dollars Bank total Dollars