1. A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by X2 X1 3 4 0.01 0.01 0.01 0.03 0.07 1 0.03 0.05 0.08 0.03 0.02 0.01 0.03 0.02 0.15 0.10 0.11 0.01 0.03 3 0.07 0.01 4 0.01 0.06 0.03 0.01 0.01 (d) Give E(X1). (e) Give E(X2). (f) Give E[X1| X2=3). (g) Give the standard deviation of X1.

1. A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by X2 X1 3 4 0.01 0.01 0.01 0.03 0.07 1 0.03 0.05 0.08 0.03 0.02 0.01 0.03 0.02 0.15 0.10 0.11 0.01 0.03 3 0.07 0.01 4 0.01 0.06 0.03 0.01 0.01 (d) Give E(X1). (e) Give E(X2). (f) Give E[X1| X2=3). (g) Give the standard deviation of X1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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