Question

1. 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 a self-driving vehicle. 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   0.355
1   0.434
2   0.187
3   0.024

a.) 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, not every probability is between 0 and 1 inclusive.

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

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

b.) Find the mean of random variable x.

c.) Find the standard deviation of random variable x.

Answer 1