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,

$P\left(1\right)+P\left(2\right)+P\left(3\right)+P\left(4\right)=0.2+0.3+0.1+0.4=1$

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.