In the game of roulette a metal ball is dropped into a spinning wheel having 38 compartments, 18 of which are red, 18 are black, and two are green. Suppose we spin the wheel ten consecutive times and...

In the game of roulette a metal ball is dropped into a spinning wheel having 38
compartments, 18 of which are red, 18 are black, and two are green. Suppose we spin
the wheel ten consecutive times and let a random variable X be the number of times
the metal ball will land on a red color.
a. Construct the probability distribution of X.