Stone Studio

Linear programming is often a favorite topic for both professors and students. The ability to introduce LP using a graphical approach, the relative ease of the solution method, the widespread availability of LP software packages, and the wide range of applications make LP accessible even to students with relatively weak mathematical backgrounds. Additionally, LP provides [...]

In a group of at least 23 randomly chosen people, there is more than 50% probability that some pair of them will have the same birthday. Such a result is counter-intuitive to many. In probability theory, thi is known as the birthday problem, or birthday paradox. Here is how we calculate [...]

Online Books
Statistics with R by Vincent Zoonekynd, 2007
  It covers 1. Introduction to R 2. Programming in R 3. From Data to Graphics 4. Customizing graphics 5. Factorial methods: Around Principal Component Analysis (PCA) 6. Clustering 7. Probability Distributions 8. Estimators and Statistical Tests 9. Regression 10. Other regressions 11. Regression Problems — and their [...]

1 When can you use the binomial formula?

We want to know how many times something does or doesn’t happen e.g. rolling a
die multiple times:

can use binomial if we want to know “number of sixes”
can’t use binomial if we want to know “sum of rolls”