Chapter 13.3, Problem 9AYU

To determine

Whether the following is a probability model.

Answer to Problem 9AYU

No, it is not a probability model.

Explanation of Solution

Given:

Formula used:

${\displaystyle \sum }_{i=1}^{n}P\left(e_i\right)=P\left(e_1\right)+P\left(e_2\right)+\cdot \cdot \cdot +P\left(e_n\right)=1$

Calculation:

As per the table, the probability of Linda, Jean, Grant and Jim are $0.3,0.2,0.1\text{ and }0.3$ respectively. Each of them is between 0 and 1.

Sum of the probability of the outcome is $0.3+0.2+0.1+0.3=0.9<1$.

Hence, given table does not represent a probability model.