📘 random processes

1. Problem: Find the variance of $3X + 4Y$ where $X$ and $Y$ are independent random variables with variances 2 and 3 respectively. Formula: For independent variables, $\mathrm{Var}

1. **Problem Statement:** Find the power spectral density (PSD) of a random process whose autocorrelation function is given by:

1. **Problem Statement:** Given the autocorrelation function of a random process: $$

1. **Problem Statement:** Find the power spectral density (PSD) of a random process with autocorrelation function