Two litters of a particular rodent species have been born, one with two brown-haired and one gray-haired

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Two litters of a particular rodent species have been born, one with two brown-haired and one gray-haired (litter 1), and the other with three brown-haired and two gray-haired (litter 2). We select a litter at random and then select an offspring at random from the selected litter.
(a) What is the probability that the animal chosen is brown-haired?
(b) Given that a brown-haired offspring was selected, what is the probability that the sampling was from litter 1?
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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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