Determine Whether the Following Is a Probability Distribution

Essay

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
-In a certain town, 70% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults)who have a college degree. $$\begin{array} { c | r } \mathrm { x } & \mathrm { P } ( \mathrm { x } ) \\\hline 0 & 0.0081 \\1 & 0.0756 \\2 & 0.2646 \\3 & 0.4116 \\4 & 0.2401\end{array}$$