Noise Signals. In engineering simulations, we often want to generate a floating-point sequ...

Noise Signals. In engineering simulations, we often want to generate a floating-point sequence of values with a specified mean and variance. The function developed in this chapter allows us to generate numbers 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 μ and variance σ2:

Write a program that uses the rand_float function developed in Chapter to generate two sequences of 500 points. Each sequence should have the same variance of 3.0, but one sequence should have a mean of 0.0, and the other should have a mean of −4.0. Compare the theoretical and computed values for mean and variance. (Hint: Use the two previous equations to write two equations with two unknowns. Then solve for the unknowns by hand.)