Binary signals are transmitted at a constant rate of 1000 per second. Suppose that transmission errors occur independently with a probability of p = 0:001.
(a) What is the probability that there are 2 or more transmission errors in 2 seconds?
(b) What is the probability that the rst transmission error occurs in less than 2 seconds?
(c) What is the average number of successive error-free transmissions?
(d) What is the probability that the fth transmission error occurs within 3 seconds? (No need to simplify.)
(e) What are the mean and standard deviation of the time (in seconds) when the fifth transmission error occurs?