This is not the sample space itself, but its size. If the six people were called Adam, Betty, Carol, David, Ernie, and Fran, then the sample space would actually be something like {(Adam, Betty, Carol), (Adam, Betty, David), (Adam, Betty, Ernie), ... , (David, Ernie, Fran)}.
Friday, June 3, 2011
How to to count the sample space if sampling is done without replacement.?
The text book I have doesn't clearly explain how the formula can be calculated. Example, if there is a population of 6 and a sample of 3, the answer is 20. Can someone please help explain to me how 20 was derived? Thanks.How to to count the sample space if sampling is done without replacement.?The sample space is the set of all possible outcomes. In this case, there are 20 possible ways to sample 3 out of 6 without replacement. The mathematical operation is %26quot;choosing,%26quot; or nCr, which means %26quot;from n, choose r.%26quot; nCr = n! / (r!*(n - r)!), where ! is the factorial operation. In this case, we have 6C3 = 6! / (3!*(6 - 3)!) = 6! / (3!*3!) = 720 / (6*6) = 720 / 36 = 20.
This is not the sample space itself, but its size. If the six people were called Adam, Betty, Carol, David, Ernie, and Fran, then the sample space would actually be something like {(Adam, Betty, Carol), (Adam, Betty, David), (Adam, Betty, Ernie), ... , (David, Ernie, Fran)}.file married even ringtones cellphones ringing
This is not the sample space itself, but its size. If the six people were called Adam, Betty, Carol, David, Ernie, and Fran, then the sample space would actually be something like {(Adam, Betty, Carol), (Adam, Betty, David), (Adam, Betty, Ernie), ... , (David, Ernie, Fran)}.
