Question

wo fair dice are rolled, and the product of the two numbers is recorded. Which of the following best describes the theoretical probability distribution? uniform symmetric negatively skewed positively skewed

Answer 1

(Two) fair dice are rolled, and the product of the two numbers is recorded. Which of the following best describes the theoretical probability distribution? uniform symmetric negatively skewed positively skewed

Uniform Symmetry -> Sequence of answers that increase or decrease by the same amount
Negative Skew = Large # -> Small #
Positive Skew = Small # -> Large #

Please someone correct me if I am wrong so far!

Answer 2

Uniform Symmetry is not really a distribution. There is something called uniform distribution where the shape is flat , and symmetric means it is symmetric about the mean

Answer 3

here is the sample space for throwing two die

Answer 4

http://www.mathwords.com/s/sample_space.htm

Answer 5

now you can derive the sample space from this for the products, we get
{ 1, 2 , 3, 4, 5, 6,
2 , 4 , 6, 8, 10, 12,
3, 6, 9 , 12, 15, 18,
4, 8 , 12, 16, 20, 24,
5, 10 , 15, 20, 25, 30,
6, 12, 18, 24, 30 ,36 }

Answer 6

I posted an excel of the data, the product, and a graph of the probability distribution.
based on the graph i would say it is positively skewed