Two lines of customers are waiting at a bank. Unknown to the customers, there is actually only one tell serving both lines. The teller selects the next customer by flipping a coin: If a head appears, the next custom in line A is served, and if a tail, the next customer in line B is served. If you are the fifth customer in line B, a) state how you would model the flow of customers leading to your being served along with an necessary assumptions,

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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4.8) Two lines of customers are waiting at a bank. Unknown to the customers, there is actually only one teller
serving both lines. The teller selects the next customer by flipping a coin: If a head appears, the next customer
in line A is served, and if a tail, the next customer in line B is served. If you are the fifth customer in line B,
a) state how you would model the flow of customers leading to your being served along with any
necessary assumptions,
b) calculate the probability that 8 customers in line A will be served before you are,
c) calculate the expected total number of customers served before you.
Transcribed Image Text:4.8) Two lines of customers are waiting at a bank. Unknown to the customers, there is actually only one teller serving both lines. The teller selects the next customer by flipping a coin: If a head appears, the next customer in line A is served, and if a tail, the next customer in line B is served. If you are the fifth customer in line B, a) state how you would model the flow of customers leading to your being served along with any necessary assumptions, b) calculate the probability that 8 customers in line A will be served before you are, c) calculate the expected total number of customers served before you.
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