If p1 is probability of echo for 1 pulse and no object then it should be low right? Because echoes occur when there is an object. So is the probability of an echo for 1 pulse and there is an object 1-p1 ? Furthermore is the probability of an echo for n pulses and no object mean p1^n and if there is an object: (1-p1)^n? How can we then relate p1 and p2?
I was looking back at the 11-05-08 lecture and noticed the coin w/ unknown bias example where Pr[H] = P in n tosses. The ML of the probability = number of heads/n. So can we say that ML of this probability p1 of echoes in n pulses = p1/n?
