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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?

**HWK 6: Statistical Inference**

a. You have the following data of wind speed (in mph) in Ithaca, NY at 2 pm ...
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? **HWK 6: Statistical Inference** a. You have the following data of wind speed (in mph) in Ithaca, NY at 2 pm ...
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How did you get 0.5 please ? 

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