2. Dice Rolls. Construct a spreadsheet simulation model to simulate 1,000 rolls of a die with the six sides numbered 1, 2, 3, 4, 5, and 6.

a. Construct a histogram of the 1,000 observed dice rolls.

b. For each roll of two dice, record the sum of the dice. Construct a histogram of the 1,000 observations of the sum of two dice.

c. For each roll of three dice, record the sum of the dice. Construct a histogram of the 1,000 observations of the sum of three dice.

d. For each roll of four dice, record the sum of the dice. Construct a histogram of the 1,000 observations of the sum of four dice.

e. Compare the histograms in parts (a), (b), (c), and (d). What statistical phenomenon does this sequence of charts illustrate?