Production line workers assemble 15 automobiles per hour. During a given hour, four are produced with improperly fitted doors. Three automobiles are selected at random and inspected. Let X denote the number inspected that have improperly fitted doors.
A) What is the sample space of X
B) Write the density for X
C) Find E[X] and Var[X]
D) Find the probability that at most one will be found with improperly fitted doors.