For a certain type of soil the number of wireworms per

Chapter 3, Problem 171E

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QUESTION:

Problem 171E

For a certain type of soil the number of wireworms per cubic foot has a mean of 100. Assuming a Poisson distribution of wireworms, give an interval that will include at least 5/9 of the sample values of wireworm counts obtained from a large number of 1-cubic-foot samples.

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QUESTION:

Problem 171E

For a certain type of soil the number of wireworms per cubic foot has a mean of 100. Assuming a Poisson distribution of wireworms, give an interval that will include at least 5/9 of the sample values of wireworm counts obtained from a large number of 1-cubic-foot samples.

ANSWER:

Solution 171

Step1 of 2:

Let us consider a random variable Y it follows poisson distribution with parameter

Mean of the poisson distribution is .

Variance of the poisson distribution is

We need to find give an interval that will include at least  of the sample values. 

 


Step2 of 2:

We have Mean of the poisson distribution is .

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