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When a conventional paging system transmits a message, the probability that the message will be received by the pager it is sent to is p. To be con- fident that a message is received at least once, a system transmits the message n times.
(a) Assuming all transmissions are independent, what is the PMF of K, the number of times the pager receives the same message?
(b) Assume p = 0.8. What is the minimum value of n that produces a probability of 0.95 of receiving the message at least once?
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