i need simulation and plots please answer with simulation and plot screenshot please

BL40A2020 Wireless Communication Systems Assignment week 4: Probability theory and random processes Author: 1. Follow similar steps done in the notes to analyze the Binary erasure channel (a) Consider that the probabilities related to the input sequence is the following: - q is the probability that the input bit is 0 - 1q is the probability that the input bit is 1 . Compute analytically (as a function of p and q ): - Probability that the output is e - Probability that the input is 0 if the output is e (error) - Probability that the input is 1 if the output is e (error) (b) Test the analytical results via simulation (see tutorial) considering that p=0.1 and q=0.4 2. Consider two independent Gaussian random variables so that - X has mean X and variance X2 - Y has mean Y and variance Y2 Consider a new random variable so that: Z=X+Y. If X and Y are independent Gaussian random variables, then Z=X+Y and variance Z2=X2+Y2. Plot the probaility density function and the cumulative density function of X,Y,Z considering that - X=10 and X2=1 - Y=2 and Y2=3 How is the shape of this ditribution in relation to the original ones