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Chapter 13: Q. 10 (page 864)

Determine whether the following is a probability model.

Short Answer

Expert verified

The given is not a probability model.

Step by step solution

01

Step 1. Given information.

Determine whether the following is a probability model.

02

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, PAngelais negative.

Adding them together we have,

PErica+PJoenee+PLaura+PDonna+PAngela=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.

03

Step 3. Conclusion.

The given is not a probability model.

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