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For a certain type of soil the number of wireworms per
Chapter 3, Problem 171E(choose chapter or problem)
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.
Questions & Answers
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 .