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 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 a theoretical mean of 4, but one sequence should have a variance of 0.5 and the other should have a variance of 2. Check the computed means and compare them with the theoretical means. (Hint: Use the two previous equations to write two equations with two unknowns. Then solve for the unknowns by hand.)