C++ program:

In engineering simulations, we often want to generate a floating-point sequence of values

with a specified mean and variance. The randFloat function below allows us to generate a

random sequence between limits a and b, but it does not allow us to specify the mean and

variance. By using results from probability, the following relationships can be derived

between the limits of a uniform random sequence and its theoretical mean ? and variance ?2:

/*This function generates a random double value between a and b*/

double randFloat (double a, double b)

{

return a + (static_cast(rand()) / RAND_MAX) * (b - a);

}

Part 1:

Write a program that uses the randFloat function given above to generate

sequences of random floating-point values between 4 and 10. You should now use two

specific sized sequences; sequences of 100 and 10,000. Then compare the computed

mean and variance to the theoretical values computed (using formulas above).

There should be no user input for this section.

The expected output should be seen for both sequences: theoretical mean, practical mean,

theoretical variance, practical variance. The values should be separated by spaces.

Example:

Given: theoretical mean = 2.0, practical mean = 2.1, theoretical variance = .75, and

practical variance = .76

The output would be: 2.0 2.1 0.75 0.76

Output should be seen with this output style for both sequences, each started on a

newline.

Use srand(500);

Required output:

7 7.04755 3 3.01372 3 7 7.00747 3 3.00782