. 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?
. 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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Chapter1: Combinatorial Analysis
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Please just solve question 1/ a
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cf9958e-dd38-41eb-b691-55a1e2252bf8%2F442911ab-2486-4aab-90b0-5dce127de976%2F95f4fpi_processed.jpeg&w=3840&q=75)
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?
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