5.6, due on November 1

I'm wondering why we chose to require that the function be well-defined from negative infinity up. Why does it need to be defined so far left if we (maybe) aren't going to use those values? I think because of this confusion the equations for the c.d.f. aren't intuitive to me.

It's intuitive to see that the probability density function is the derivative of the cumulative density function. It seems to me that that's almost by definition, since we define the c.d.f. as the probability over the interval (-\infty, k) and that almost seems like part of the definition of the FTC.

The formula for the expectation of X is super obvious to me, thankfully.

It's cool to see all these formulas I'd seen in statistics worked out mathematically.

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