Question

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 | 0.662

1 | 0.286

2 | 0.047

3 | 0.004

4 | 0.001

5 | 0.000

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

A. Yes, the table shows a probability distribution.

B. No, the sum of all the probabilities is not equal to 1.

C. No, the random variable​ x's number values are not associated with probabilities.

D. No, the random variable x is categorical instead of numerical.

E. No, not every probability is between 0 and 1 inclusive.

Find the mean of the random variable x. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. __ male(s) ​(Round to one decimal place as​ needed.)

B.The table does not show a probability distribution.

Find the standard deviation of the random variable x. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. __ ​male(s) ​(Round to one decimal place as​ needed.)

B. The table does not show a probability distribution.

Answer 1