Construct a spreadsheet simulation model to simulate 10,000 rolls of a die with the six sides numbered 1, 2, 3, 4, 5 and 6.
a. Construct a histogram of the 10,000 observed dice rolls.
b. For each roll of two dice, record the sum of the dice. Construct a histogram of the 10,000 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 10,000 observations of the sum of three dice.
d. Compare the histograms in parts (a) to (c). What statistical phenomenon does this sequence of charts illustrate?