Two fair dice are rolled, and the product of the two numbers is recorded. which of the following best describes the theoretical probability distribution?

a.) uniform
b.) symmetric
c.) negatively skewed
d.) positively skewed

Step-by-step explanation:

It is given that Two fair dice are rolled, and the product of the two numbers is recorded, then the sample space for the product of two dice is:

{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}

Using this sample space for the product of two dice, we can get the probabilities such as:

P(1)=

P(2)=

P(3)=

P(4)=

P(5)=

P(6)=

P(8)=

P(9)=

P(10)=

P(12)=

P(15)=

P(16)=

P(18)=

P(20)=

P(24)=

P(25)=

P(30)=

P(36)=

If we draw a bar graph, then the distribution will be nearby uniform because there is no more difference between each other, thus the theoretical probability distribution will be A uniform.

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b