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
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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?
Transcribed Image Text: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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