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 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, we can derive the relationship 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.)
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