Question
Let C and T denote the number of cars and trucks that pass through an intersection in one hour, respectively, and let X = C+T.
Let C and T denote the number of cars and trucks that pass through an intersection in one hour, respectively, and let X = C+T. Assume C Poisson(c), T Poisson(t), and C and T are independent. (a) Find the conditional distribution of C given X = 100.
(b) Find the conditional expectation of C given X = 100. (You can leave your answer as a sum, but it will also simplify into something nice.)
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Calculus Early Transcendentals
Authors: James Stewart
7th edition
538497904, 978-0538497909
