Binomial Distribution
Binomial Distribution
Binomial Distribution
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Bernoulli Trials<br />
• For Bernoulli process, just two event classes (e.g., coin<br />
flip)<br />
– p = success<br />
– q = failure = 1-p<br />
– stationary versus non-stationary<br />
– not all orders are equally probable (depends on p)<br />
– for independent stationary, the probability of a particular<br />
(ordered) sequence of N trials<br />
• prqN-r , where r is number of successes<br />
• same probability for all orders giving with this number of successes<br />
– often we want to know the probability of r successes, regardless<br />
of order<br />
⎛N⎞ ⎜ ⎟ pq<br />
⎝ r ⎠<br />
• multiply by the number of orders r N−r
Change language