Chapter 13.3, Problem 8AYU

Determine whether the following is a probability model.

To determine

Whether the following is a probability model.

Answer to Problem 8AYU

Yes, it is 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 Steve, Bob, Faye and Patricia are $0.4,0.3,0.1\text{ and }0.2$ respectively. Each of them is between 0 and 1.

Sum of the probability of the outcome is $0.4+0.3+0.1+0.2=1$.

Hence, given table represents a probability model.