Suggested languages for you:

Americas

Europe

Q. 10

Expert-verified
Found in: Page 864

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# Determine whether the following is a probability model.

The given is not a probability model.

See the 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.

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

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.