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, there are outcome whose probability is between 0 and 1 while the probability of one outcome, $P\left(\mathrm{Angela}\right)$is negative.

Adding them together we have,

$P\left(\mathrm{Erica}\right)+P\left(\mathrm{Joenee}\right)+P\left(\mathrm{Laura}\right)+P\left(\mathrm{Donna}\right)+P\left(\mathrm{Angela}\right)=0.3+0.2+0.1+0.5+(-0.1)=1$

Although the sum of the probability of each outcome is 1, there is one probability of an outcome that is below 0.

Thus, the given is not a probability model.

Step 3. Conclusion.

The given is not a probability model.