Question

Determine whether the following is a probability model.

Short answer

The given is 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,

$P\left(\mathrm{Steev}\right)+P\left(\mathrm{Bob}\right)+P\left(\mathrm{Faye}\right)+P\left(\mathrm{Patricia}\right)=0.4+0.3+0.1+0.2=1$

Since the probability of each outcome is between 0 and 1, and their sum is 1, then the given is a probability model.

Step 3. Conclusion.

The given is a probability model.