#1
|
|||
|
|||
Finding the \"bell\" using Binomial Distribution
Ok. So I'm gonna flip a coin 1000 times. I am looking for a range in which heads comes up with 90% certainty. I'll give an example, because I can't even understand what I've written:
I know that the chance of heads coming up exactly 500 times is 5.253%. I can calculate the binomial distribution for each case of "successes", then manually find that 90.6% of the time, heads will show up between 474 and 526. I could express this by saying "If you flip a coin 1000 times, there is a 90.6% chance that the coin will come up heads 500 (+/- 26) times." Is there any way to come to this result other than calculating individual successes for the entire trial, and then manually adding the results? --Casey |
#2
|
|||
|
|||
Re: Finding the \"bell\" using Binomial Distribution
Yes, my statistics is hopelessly rusty but I think for a large enough sample size (such as 1000), you can use approximate the binomial distribution as a normal distribution and calculate these results easily. Any basic statistics text will discuss this in greater depth.
|
#4
|
|||
|
|||
Re: Finding the \"bell\" using Binomial Distribution
Yeah...I can come up with the numbers this site does. I guess I'll just figure that +/- 2xSD will give me roughly 97% certainty.
Thanks anyway, --Casey |
|
|