Probability and Stats - Show the Sample Space

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Homework Statement



An assembly line is observed until items of both types—good (G) items and items not meeting specification (N)—are observed. Show the sample space.

Homework Equations


Let G be Good
Let N be Not Good

The Attempt at a Solution


S = {GN, GGN, GG...N, GG..., NG, NNG, NN...G, NN...}

I'm not sure if this represents the sample space. I realize the sample space is essentially infinite, but I'm not sure if I've accomplished the task of showing the sample space. I also am not sure if I am missing anything or misunderstanding the question.

Thanks.
 
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Of Mike and Men said:

Homework Statement



An assembly line is observed until items of both types—good (G) items and items not meeting specification (N)—are observed. Show the sample space.

Homework Equations


Let G be Good
Let N be Not Good

The Attempt at a Solution


S = {GN, GGN, GG...N, GG..., NG, NNG, NN...G, NN...}

I'm not sure if this represents the sample space. I realize the sample space is essentially infinite, but I'm not sure if I've accomplished the task of showing the sample space. I also am not sure if I am missing anything or misunderstanding the question.

Thanks.

Yes, that is the sample space.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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