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Can you explain the answers you get from the following table and questions? Thank you.

Class Birth Months:

January 3

February 1

March 5

April 3

May 0

June 4

July 2

August 4

September 7

October 4

November 3

December 1

1. Find the average birth month for students at your table. Is this variable normally distributed? Why or why not? **Given that this is an online course, I will provide my own numbers for this question: January 1, February 0, March 2, April 0, May 0, June 1, July 1, August 0, September 3, October 1, November 1, December 0**

2. Find the average birth month for students in your class. (Your instructor will facilitate this.) Is this variable normally distributed? Why or why not?

3. What is the probability of obtaining a class average of birth month greater than the one you found in Question 2?

4. What is the probability of finding a class average of birth month within 0.5 months of the population mean? Make a sketch to illustrate the probability.

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