Problems of the day

1.

Write a maple function called r that returns a random number between 0 and 1.

2.

Use this to test Maple's random number generator in the following way: generate a list of 1000 random points (i.e. with random x and ycoordinates), then plot these points. Do they seem randomly distributed?

3.

Write a maple procedure that decodes messages that have been encoded using the OneTimePad procedure.