Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time.

a. What kind of a distribution does X have (name and values of all parameters)?

b. Compute P(X = 2), P(X < 2), and P(X > 2).

c. Calculate the mean value and standard deviation of X.