3. 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 2 0.03 0.08 X1 4 0.01 0.03 0.01 0.05 0.07 0.03 0.01 0.02 0.01 1 2 0.03 0.11 0.15 0.01 0.03 0.01 3 0.02 0.07 0.10 0.01 4 0.01 0.06 0.03 0.01 (a) Give the marginal density of X1. (b) Give the marginal density of X2. (c) Give the conditional density distribution of X1 given X2 = 3.

3. 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 2 0.03 0.08 X1 4 0.01 0.03 0.01 0.05 0.07 0.03 0.01 0.02 0.01 1 2 0.03 0.11 0.15 0.01 0.03 0.01 3 0.02 0.07 0.10 0.01 4 0.01 0.06 0.03 0.01 (a) Give the marginal density of X1. (b) Give the marginal density of X2. (c) Give the conditional density distribution of X1 given X2 = 3.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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