A Chebyshev interval with a poisson distribution

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SUMMARY

The discussion focuses on applying Chebyshev's theorem to a Poisson distribution, specifically in the context of geophysics for determining the age of zircon by counting uranium fission tracks. The average number of tracks per square centimeter is given as seven, which serves as the lambda parameter for the Poisson distribution. The standard deviation is calculated as the square root of the mean, resulting in a standard deviation of approximately 2.65. The objective is to find an interval that includes at least 60% of the sample values based on this information.

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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.
 

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