Question

Determine whether the following is a probability model.

Short answer

The given is not a probability model.

Step-by-step solution

Step 1. Given information.

Determine whether the following is a probability model.

Step 2. Determine the probability model.

Analyzing the given table, the probability of each outcome are between 0 and 1.

Adding them together we have,

$P\left(\mathrm{Linda}\right)+P\left(\mathrm{Jean}\right)+P\left(\mathrm{Grant}\right)+P\left(\mathrm{Jim}\right)=0.3+0.2+0.1+0.3=0.9$

Although the probability of each outcome is between 0 and 1, their sum is not equal to 1.

Thus the given is not a probability model.

Step 3. Conclusion. 

The given is not a probability model.