A message sent over a particular communication channel has probability p of being distorted. The message is sent repeatedly until it is transmitted clearly, and each attempt takes 1 minute to process.
What's the probability that the transmission takes at least t minutes? Assume that t is a positive integer. (Your answer should be in terms of p and t.)
Math Help Please?
2018-07-15 8:32 am
回答 (1)
2018-07-15 9:18 am
In order for it to take at least t minutes, every one of the prior t-1 transmission attempts must be distorted.
p : probability a transmission is distorted once
p^(t-1): probability it is distorted t-1 times.
Answer:
p^(t-1)
P.S. We don't care about the status of the transmission attempt at time t; it either is successful (taking t minutes) or it is still distorted (taking more than t minutes).
p : probability a transmission is distorted once
p^(t-1): probability it is distorted t-1 times.
Answer:
p^(t-1)
P.S. We don't care about the status of the transmission attempt at time t; it either is successful (taking t minutes) or it is still distorted (taking more than t minutes).
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