The punctuality of trains has been investigated by considering a number of train journeys. In the sample, 60% of trains had a destination of Manchester, 20% Birmingham and 20% Edinburgh. The probabilities of a train arriving late in Manchester, Edinburgh or Birmingham are 30%, 20% and 25% respectively. If a late train is picked at random from the group under consideration, what is the probability that it terminated in Manchester?

The punctuality of trains has been investigated by considering a number of train journeys. In the sample, 60% of trains had a destination of Manchester, 20% Birmingham and 20% Edinburgh. The probabilities of a train arriving late in Manchester, Edinburgh or Birmingham are 30%, 20% and 25% respectively. If a late train is picked at random from the group under consideration, what is the probability that it terminated in Manchester?

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The punctuality of trains has been investigated by considering a number of train
journeys. In the sample, 60% of trains had a destination of Manchester, 20%
Birmingham and 20% Edinburgh. The probabilities of a train arriving late in
Manchester, Edinburgh or Birmingham are 30%, 20% and 25% respectively. If a late
train is picked at random from the group under consideration, what is the probability
that it terminated in Manchester?

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