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A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Zhe wants to travel from Berkeley to San Francisco by BART. She plans to take the Richmond-Fremont
(RF) train first and then transfer to the Richmond-Millbrae (RM) train at the MacArthur station. She is now
on the RF train and will arrive at the MacArthur station at time T1. The next RM train will arrive at the
MacArthur station at time T2. T1 and T2 are independent and uniformly distributed between 8 a.m. to 8:05
a.m. Both trains will stop for 2 min.
a) Given that Zhe arrives the station at 8:03 a.m., what is the probability that Zhe will miss the RM
train?
b) What is the probability that Zhe will miss the RM train?
c) What is the probability that Zhe will have a seamless transfer (when she arrives at the station, the
RM train is stopping there waiting for her)?
Answer: 0.200; 0.180; 0.320
Transcribed Image Text:Zhe wants to travel from Berkeley to San Francisco by BART. She plans to take the Richmond-Fremont (RF) train first and then transfer to the Richmond-Millbrae (RM) train at the MacArthur station. She is now on the RF train and will arrive at the MacArthur station at time T1. The next RM train will arrive at the MacArthur station at time T2. T1 and T2 are independent and uniformly distributed between 8 a.m. to 8:05 a.m. Both trains will stop for 2 min. a) Given that Zhe arrives the station at 8:03 a.m., what is the probability that Zhe will miss the RM train? b) What is the probability that Zhe will miss the RM train? c) What is the probability that Zhe will have a seamless transfer (when she arrives at the station, the RM train is stopping there waiting for her)? Answer: 0.200; 0.180; 0.320
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