Dice and the Gaussian distribution. Write a program TenDice.java that takes an integer command-line argument N, and rolls 10 fair six-sided dice, N times. Use an array to tabulate the number of times each possible total (between 10 and 60) occurs. Then print out a text histogram of the results, as illustrated below.

% java TenDice 1000

10:

11:

12:

13:

14:

15:

16:

17:

18: *

19: ****

20:

21: ***

22: ******

23: ********

24: ****************

25: *************

26: **********

27: *********************************

28: ****************************************

29: *********************************

30: ***************************************************

31: *****************************************************************

32: ********************************************************

33: **************************************************************************************

34: ***********************************************************

35: *********************************************************************

36: ***********************************************************************************

37: **************************************************************

38: *****************************************************************

39: ***************************************

40: *****************************************************

41: ************************************

42: ****************************

43: ************************

44: ************************

45: *********

46: ***********

47: *******

48: ***

49: **

50:

51:

52: *

53:

54:

55:

56:

57:

58:

59:

60:

Remark: a classic result from probability theory (central limit theorem) asserts that the shape of the resulting histogram is well-approximated by the ubiquitous bell curve (Gaussian distribution).