Question

Does the table show the values of a valid probability function on the outcomes in a sample space? Probability 0.7 0.2 0.1 0.1 no yes

Answer 1

For a set of values to be considered a probability function, each value of probability must be between 0 and 1.

The accumulated probability of the function must be equal to one, F(x)=1, this means that if you add all probabilities, the result must be equal to one.

$F(x_i)=\Sigma P(x_i)$

Add the given probabilities:

$\begin{gathered} F(x_i)=0.7+0.2+0.1+0.1 \\ F(x_i)=1.1 \end{gathered}$

The accumulated probability is more than one, which means that the given set of values do not represent a probability function.