A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Justify and explain that if X and Y are independent random variables with respective parameters lambda 1 and lambda 2, calculate the conditional distribution of X given that X+Y=n
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It is provided that X+Y = n and X, Y are non-negative, then X can choose 1, …, n.
Therefore,
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