Question: When you send a text on a phone the software sends a 'setup' message to the local base station. If there is no response, another

When you send a text on a phone the software sends a 'setup' message to the local base station. If there is no response, another setup message is sent and this is repeated up to n=6n=6 times. If after 6 attempts there is no response, the transmissions end and the phone indicates this with a 'busy' signal. Suppose all transmissions are independent and are acknowledged with probability pp.

(A) Sketch a tree diagram to illustrate the setup procedure.

(B) Write down and justify the PMF for the random variable KK, the number of setup attempts in a call.

(D) If p=0.5p=0.5 what is the minimum value of nn that the phone manufacturer must set to ensure that the probability of a busy signal be less than 0.010.01.

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