A Chebyshev interval with a poisson distribution

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[SOLVED] A Chebyshev interval with a poisson distribution

Geophysicists determine the age of a zircon by counting the number of uranium fission tracks on a polished surface; the number of these uranium fission tracks on this surface follows a Possion distribution. A particular zircon is of such an age that the average number of tracks per square centimeter is seven. Give an interval that will include at least 60% of the sample values of fission track counts obtained from a large number of square centimeter samples.

I know this problem require chebyshevs theorem, but I don't have the standard deviation. How do I figure this out?
 
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I think I've figured it out. Lambda is the mean and the variance for a Poisson distribution. So SQR 100 is the standard deviation in this problem. From there its a matter of solving for k and finding the interval.
 
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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