Packer Fan Tours is the official tour company for the Green Bay Packers of the NFL. One of the events in its package is to sponsor a reception the night before a game for fans that is attended by three of the players from the team. There are 53 players on the Green Bay Packers’ roster, of which 22 are starters. Assume that the three players attending the reception this week are chosen randomly. Determine the probability of the following occurring:

a. None of the players at the reception are starters.

b. All of the players at the reception are starters.

c. Two of the players at the reception are starters.

d. Calculate the mean and standard deviation of this distribution.

e. Verify your results with Excel.