Statistics Homework Help Needed

Question

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.

8. Male Color Blindness: 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 (based on data from the National Institutes of Health).

X  P(x)
0  0.659
1  0.287
2  0.05
3  0.004
4  0.001
5  0+

Answer 1

sum of P(x) = 1, then it's a probability distribution

mean = the arithmetic average = 1/7

sd = sqrVar

Var = average of the squared differences from the mean