作业分为五个部分，按照要求用JavaScript实现五个页面小程序。
Goals
Review Javascript, particularly functional programming. Functions can return
functions, and can take functions as arguments. Practice simulating from
random processes. Practice iteration with for-loops and updating web elements
from Javascript. Experiment with a strange set of dice created by Bradley
Efron, whom we will meet again.
Your work should be in the form of an HTML le called index.html with one [p]
element per problem. Wrap any Javascript code for each problem in a script
element. For example:
Problem 0: We use the var statement to declare a variable and set it to a value.
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Create a zip archive containing this le and upload it to CMS.
For each problem, you may use your work from the previous problem (though you
don’t have to). Do not use any other libraries or resources.
Die simulator
Write a function called roll that returns a random value from [1, 2, 3, 4, 5,
6], with equal (uniform) probability. Run this function 10 times and display
the results in the p tag for this problem. The function join on an array may
be useful when displaying results.
Weird die simulator
Write a function called diceFactory that takes one argument, an array called
values, and returns a function. This returned function should work the same
way as your roll() function, but return a uniform sample from the values array
rather than digits from 1-6. Create a function rgb by calling
diceFactory([“red”, “blue”, “green”]). Run the rgb function 10 times and
display the results in the p tag for this problem.
Non-transitive dice generator
I recently got some fun conference swag: non-transitive dice. These are four
six-sided dice that have the following face values:
[1, 1, 1, 5, 5, 5] [0, 0, 4, 4, 4, 4] [3, 3, 3, 3, 3, 3] [2, 2, 2, 2, 6, 6]
We’ll call these E0, E1, E2, and E3 in honor of their inventor, Bradley Efron.
Write a new dice-rolling function generator function called
nonTransitiveFactory that returns a function that simulates one of these dice.
The generator function should take one argument, a number from {0, 1, 2, 3},
that species which die to return. Use the generator function to create a dice-
rolling function oneFive that samples from E0. Run this function 10 times and
display the results in the p tag for this problem.
Rolling many times
Write a function called rollNTimes that takes three arguments, two dice-
rolling functions (i.e. functions returned by your nonTransitiveFactory
function) and a number n. It should “roll” the two dice n times and return the
number of times the rst function returned a value greater than the second
function. Run this function 10 times with E0 and E1 with n=100, and display
the results in the p tag for this problem.
All pairs comparison
Now create a 4x4 table where each cell has a distinct id attribute. For each
possible pair of dice i, j, set the value in the appropriate table cell to the
result of calling rollNTimes with the appropriate functions, and with n=1000.
It’s ok to compare a die to itself and to display both symmetrical pairs. In
the p tag for this problem describe why these are called non-transitive dice.
