Q1) 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) 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? (b) What is the probability that the phone will generate a busy signal? (c) 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? 03) m

Q1) 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) 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? (b) What is the probability that the phone will generate a busy signal? (c) 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? 03) m

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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