Answer:
The correct option is A. Yes, this a valid probability model.
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.
![Probability=\frac{\text{Required outcomes}}{\text{Total outcomes}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e3qkjg2zyy34kll4mr8j2y5pt04iq75uqz.png)
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
![(1)/(8)+(1)/(4)+(1)/(2)+(1)/(8)=(1+2+4+1)/(8)\Rightarrow(8)/(8)=1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oc4ow6q9x4eh79v4kp0hjvnir5easqdeni.png)
The sum of probabilities is 1.
Therefore, the given table is a valid probability model.