Final Practice Exam

Hey All,

I posted a final practice exam. I created problems which seemed to match the description of the exam. I'm missing out on the end of the exam at the moment and wouldn't know how closely what I wrote up resembles the real exam. At any given time, you should make sure you have the most up-to-date version number.

Note that the copies in the Dropbox will get updated dynamically. While the copies in my Course Files folder will get updated periodically.

Current Version Numbers and Links to Files:
Final Practice Exam [v1.2.4.2]
Final Practice Exam Solutions [v1.2.4.2]

You can ask me questions via e-mail or posting a comment here. Cheers.

Pictures

These pictures give a rough idea of how well (or not well) the normal distribution approximates the binomial distribution for increasing values of $n$. Specifically, we have $n$ going from 1, 2, 3, 4, 5, 10, 20, 30, 40, 50, 100, 200, 300, 400, 500. Note that the $y$-axis does not necessarily intersect the origin and that the range of values of both axes are changing as well.

$n=1$

Using the central limit theorem

We apply the central limit theorem to integer-valued random variables. In that situation, we assign to every integer $k$ it's own little interval $\left(k-\frac{1}{2},k+\frac{1}{2}\right)$. Thus instead of $P(X=5)$ we'd be looking for $P(4.5 \leq X \leq 5.5)$.

Calculus II for Bio Q&A

Finals are around the corner. Ask your questions! (either for credit or just because)

The ever useful overlapping circles...

Here's a list of things to make your comments look cool! I suggest you create your comment in a text file and copy and paste over to the comment field here, or just send me an email.