The Normal Distribution

1.Demonstrate that you understand the basic concepts involving the the normal distribution. Write a well-written paragraph where you discuss the following characteristics of the normal distribution:

(a) What requirements must the normal distribution fulfill to be classified as a density curve?

(b) In what ways would you classify the normal distribution as being symmetrical?

(c) Changing the mean of a normal distribution has what influence over its shape or position on its horizontal axis?

(d) Changing the standard deviation of a normal distribution has what influence over its shape or position on its horizontal axis?

(e) What percentage of a normal distribution of scores falls within 1, 2, and 3 standard deviations from the mean?

(f) What is the difference between a normal distribution and a standard normal distribution? Include a discussion of what must always be true about the mean and standard deviation of a standard normal distribution.

For this part, I expect a well-written discussion incorporating your responses to each of these questions. I don't want a bulleted list of answers. Such a list does not constitute as a discussion. I want to hear your "voice" in this part. What I don't want are copy/pasted definitions, direct quotes, or information from other websites.