When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

X P(x)
0 0.659
1 0.287
2 0.050
3 0.004
4 0.001
5 0+

1. Does the table show a probability distribution? Select all that apply.

a. Yes, the table shows a probability distribution.
b. No, the random variable x's number values are not associated with probabilities.
c. No, not every probability is between O and 1 inclusive.
d. No, the sum of all the probabilities is not equal to 1.
e. No, the random variable x is categorical instead of numerical.

2. Find the mean of the random variable x.