Problem 2. 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 0.3 seconds, it tries again. If it doesn't get a response after n= 4 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 that a SETUP message will get through is p, what is the PMF of K, the number of messages transmitted in a call attempt? (c) As a manager of a cellular phone system, you want the probability of a busy signal to be less than 0.01. If p = 0.8, what is the minimum value of n necessary to achieve that goal? (d) Find and sketch the CDF of N, the number of attempts made by the cellular phone for p=1/3

Problem 2. 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 0.3 seconds, it tries again. If it doesn't get a response after n= 4 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 that a SETUP message will get through is p, what is the PMF of K, the number of messages transmitted in a call attempt? (c) As a manager of a cellular phone system, you want the probability of a busy signal to be less than 0.01. If p = 0.8, what is the minimum value of n necessary to achieve that goal? (d) Find and sketch the CDF of N, the number of attempts made by the cellular phone for p=1/3

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Description: can you please solve (d) only? Problem 2.When someone presses SEND on a cellular phone, the phone attempts to set up a call bytransmitting a SETUP message to a nearby base station. The phone waits for a response, and ifnone arrives within 0.3 seconds

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 71E

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