III. Uniform Law over an interval [0,1]:

Write a C ++ program that generates a uniform distribution of non-integer numbers belonging to the interval [0,1] using IBM's RANDU generator (1960s) defined by:

The initial value x0 is an odd number.

1. Determine the period of this generator.

2. Represent by a graph the numbers generated according to their frequency of appearance.

3. In accordance with the course notes, take the following tests:

- Generator value indicator

-Tests of independence between the elements generated

-Test to verify the adequacy between the sample generated and a uniform population

x; = (65539xi-l)lutod(231) = !M 282 x; = (65539xi-l)lutod(231) = !M 282