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 0.669
1 0.278
2 0.048
3 0.004
4 0.001
5 0.000
1. Does the table show a probability distribution?
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.
a. mu = male(s).
b. the table does not show a probability distribution.
3. Find the standard deviation of the random variable x.
a. infinity = male(s).
b. the table does not show a probability distribution.