Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. Remember that you have to check the two requirements for discrete probability distributions.

In a certain town, 40% 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.

X P(X)
0 0.1296
1 0.3456
2 0.3456
3 0.1536
4 0.0256

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. Remember that you have to check the two requirements for discrete probability distributions.

In a certain town, 40% 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.

X P(X)
0 0.1296
1 0.3456
2 0.3456
3 0.1536
4 0.0256

Probability distribution

Not a probability distribution just because