Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in aself-driving vehicle. Determine whether a probability distribution is given. If a probability distribution isgiven, find its mean and standard deviation. If a probability distribution is notgiven, identify the requirements that are not satisfied.

x | P(x)

0 | 0.367

1 | 0.435

2 | 0.177

3 | 0.021

Does the table show a probabilitydistribution? 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 variablex's number values are not associated with probabilities.

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

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

Find the mean of the random variable x. Select the correct choice belowand, ifnecessary, fill in the answer box.

a. =___ adults (Round to one decimal place asneeded.)

b. The table does not show a probability distribution.

Find the standard deviation of the random variable x. Select the correct choice belowand, ifnecessary, fill in the answer box.

a. =___ adults (Round to one decimal place asneeded.)

b. The table does not show a probability distribution.