HWK 5: Gaussian (Normal) Distribution 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?

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Please please solve question 1 point a and b please explain. 
I have done already I need to compare and understand please explain. 

HWK 5: Gaussian (Normal) Distribution
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, 1.92, 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?
I
HWK 6: Statistical Inference
Van haun the fallaina data afuind
demand fin mahl in Ithana MV at 2 m
0
1
(9
*
Transcribed Image Text:HWK 5: Gaussian (Normal) Distribution 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, 1.92, 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? I HWK 6: Statistical Inference Van haun the fallaina data afuind demand fin mahl in Ithana MV at 2 m 0 1 (9 *
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