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| 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.
Replace dollarsign with the actual symbol. Using correct case is important.
dollarsign {n \choose k} dollarsign becomes ${n \choose k}$
dollarsign \frac{2}{x^2+5} dollarsign becomes $\frac{2}{x^2+5}$
dollarsign \sqrt{2+3x} dollarsign becomes $\sqrt{2+3x}$
dollarsign \sum_{n=1}^5 x P(X=x) dollarsign becomes $\sum_{n=1}^5 x P(X=x)$
backslash begin{bmatrix} a & b \\ c & d backslash end{bmatrix} becomes $\begin{bmatrix} a & b \\ c & d \end{bmatrix}$
backslash begin{bmatrix} a & b & c \\ d & e & f backslash end{bmatrix} becomes $\begin{bmatrix} a & b & c \\ d & e & f \end{bmatrix}$
dollarsign \lambda dollarsign becomes $\lambda$
In general, you can type any Greek letter the same way: \alpha, \beta, \gamma, etc.
dollarsign \int_0^1 x^2 dx dollarsign becomes $\int_0^1 x^2 dx$
Other common expressions include \ln, \sin, \cos, and \log.
How do you use a standard normal distribution to approximate the probability of a single number e.g. P(X=5) rather than P(X>5)?
ReplyDeleteI placed an answer here: http://timothytran.blogspot.com/2013/12/using-central-limit-theorem.html
DeleteHow much do the values of probability found using the normal distribution, the histogram correction and the poisson distribution differ? Which is the most accurate (closest to the exact value)?
ReplyDeleteAn example that can be used is:
n=1000 p=1/500 find the probability of less than or equal to 10
I'll work out the example after completing the solutions to 12.6. But in the meantime, your book gives a rule of thumb. Saying both normal and Poisson are good approximations to a binomial distribution for $n\geq 40$. It goes on to say use Poisson for $np \leq 5$ and normal distribution when $np \geq 5$.
Delete