Given that he arrives on City D on the train he hoped to catch, what is the probability he does so on time? A professor is traveling by rail from City A to City D, and he must change trains at City B and City C.Because his connection times are very short, he fears that his arrival in City D will be nowhere close toschedule.Specifically, he estimates the chance of lateness as 30% for both City A-B and City B-C train con-nections, and as 20% for City C-D connections. A late train is behind schedule throughout its trip. It isassumed that all trains that are not late are on schedule and lateness of trains are independent of each other.At each junction, professor will miss his connection if the arriving train is late and departing one is onschedule. Otherwise, he will catch the train.

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Description: Given that he arrives on City D on the train he hoped to catch, what is the probability he does so on time? A professor is traveling by rail from City A to City D, and he must change trains at City B and City C.Because his connection times are very s

Given : Professor has to travel from A-D The routes would be : A-B, B-C, C-D For the routes A-B,…

Answered: Given that he arrives on City D on the…

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Given that he arrives on City D on the train he hoped to catch, what is the probability he does so on time?

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Given that he arrives on City D on the train he hoped to catch, what is the probability he does so on time?

A professor is traveling by rail from City A to City D, and he must change trains at City B and City C.
Because his connection times are very short, he fears that his arrival in City D will be nowhere close to
schedule.
Specifically, he estimates the chance of lateness as 30% for both City A-B and City B-C train con-
nections, and as 20% for City C-D connections. A late train is behind schedule throughout its trip. It is
assumed that all trains that are not late are on schedule and lateness of trains are independent of each other.
At each junction, professor will miss his connection if the arriving train is late and departing one is on
schedule. Otherwise, he will catch the train.

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