(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.
(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.
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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Transcribed Image Text:(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.
Transcribed Image Text:4.97 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 Xı 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
1
2
3
4
0.01
0.03
0.01
0.03
0.07
0.01
0.05
0.11
0.08
0.15 0.01
1
0.03 0.02
2
0.03
0.01
3
0.02
0.07
0.10
0.03
0.01
4
0.01
0.06
0.03
0.01
0.01
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