# Question

Model lightning strikes to a power line during a thunderstorm as a Poisson impulse process. Suppose the number of lightning strikes in time interval t has a mean rate of arrival given by s, which is one strike per 3 minutes.

(a) What is the expected number of lightning strikes in 1 minute? in 10 minutes?

(b) What is the average time between lightning strikes?

(a) What is the expected number of lightning strikes in 1 minute? in 10 minutes?

(b) What is the average time between lightning strikes?

## Answer to relevant Questions

Suppose the power line in the previous problem has an impulse response that may be approximated by h (t) = te– atu (t), where a = 10s– 1. (a) What does the shot noise on the power line look like? Sketch a possible ...Let N (t) be a Poisson counting process with arrival rate, λ. Determine whether or not N (t) is mean square continuous. Let X [n] be a wide sense stationary, discrete random process with autocorrelation function RXX [n], and let be a constant. (a) Find the autocorrelation function for the discrete random process Y[n] = X[n] + c. (b) Are X ...A person with a contagious disease enters the population. Every day he either infects a new person (which occurs with probability p) or his symptoms appear and he is discovered by health officials (which occurs with ...Let be the sum of independent rolls of a fair (cubicle) die. (a) (b)Post your question

0