1. A data set is Gaussian with an average of 3 and a standard deviation of 2. a. What percentage of the data set is negative?

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Chapter1: Combinatorial Analysis
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SOLVE QUESTION 3 only don't do 1 or 2 I already finished with that. If you can't leave it at least I won't loose my question. 

I SAID PLEASE DO WUESTION 3 number 3 only and expla

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1. A data set is Gaussian with an average of 3 and a standard deviation of 2.
a. What percentage of the data set is negative?
b. What percentage of data falls between 2 and 5?
2. A sample of pond water is evaluated for bacteria by counting the number of
bacterial rRNA genes per milliliter. The counts (in billions/ml) are
[2.54, 1.64, 0.87, 3.10, 2.78, 1.91, 2.36, 3.17, 2.45, 3.72].
You want to make estimates of the water for the entire pond. What fraction of the
pond water would you estimate has above 3 billion/ml bacterial gene count?
3. Redo the above calculation, but assume it is lognormal instead of normal. Is there
a reason to prefer the lognormal to the normal distribution for this case?
Transcribed Image Text:Question 1. A data set is Gaussian with an average of 3 and a standard deviation of 2. a. What percentage of the data set is negative? b. What percentage of data falls between 2 and 5? 2. A sample of pond water is evaluated for bacteria by counting the number of bacterial rRNA genes per milliliter. The counts (in billions/ml) are [2.54, 1.64, 0.87, 3.10, 2.78, 1.91, 2.36, 3.17, 2.45, 3.72]. You want to make estimates of the water for the entire pond. What fraction of the pond water would you estimate has above 3 billion/ml bacterial gene count? 3. Redo the above calculation, but assume it is lognormal instead of normal. Is there a reason to prefer the lognormal to the normal distribution for this case?
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