Answer:
The correct option is A. Yes, this a valid probability model.
Step-by-step explanation:
It is given that Garcia is preparing for his football game. The following table shows a probability model for the number of rushing yards that he will have next game.
[tex]Probability=\frac{\text{Required outcomes}}{\text{Total outcomes}}[/tex]
Required outcomes and total outcomes are positive values, where required outcomes is less than total outcomes. So probability lies from 0 to 1 and the sum of all probabilities is 1.
From the given table it is clear that
[tex]\frac{1}{8}+\frac{1}{4}+\frac{1}{2}+\frac{1}{8}=\frac{1+2+4+1}{8}\Rightarrow\frac{8}{8}=1[/tex]
The sum of probabilities is 1.
Therefore, the given table is a valid probability model.