What is the probability that the phone will generate busy

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Reference no: EM131081854

In Problem 2.2.9, find and sketch the CDF of N, the number of attempts made by the cellular phone for p = 1/2.

Problem 2.2.9

When someone presses "SEND" on a cellular phone, the phone attempts to set up a call by transmitting a "SETUP" message to a nearby base station. The phone waits for a response and if none arrives within 0.5 seconds it tries again. If it doesn't get a response after n = 6 tries the phone stops transmitting messages and generates a busy signal.

(a) Draw a tree diagram that describes the call setup procedure.

(b) If all transmissions are independent and the probability is p that a "SETUP" message will get through, what is the PMF of K, the number of messages transmitted in a call attempt?

(d) As manager of a cellular phone system, you want the probability of a busy signal to be less than 0.02 If p = 0.9, what is the minimum value of n necessary to achieve your goal?

Reference no: EM131081854

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