The joint probability distribution of two random variables, X and Y, is given in the table below. Y=-2 Y=1 Y=3 X=-4 0.11 0.17 0.05 X=-2 0.00 0.07 0.12 X=-1 0.18 0.00 0.07 X=0 0.02 0.13 0.01 X=1 0.04 0.00 0.03 From the information in the table, calculate each of the following probabilities. Round your answers to two decimal places. (If necessary, consult a list of formulas.) (a) Given that X= 0, compute the probability that Y= 1. (b) Given that Xs-2, compute the probability that Y 1.
The joint probability distribution of two random variables, X and Y, is given in the table below. Y=-2 Y=1 Y=3 X=-4 0.11 0.17 0.05 X=-2 0.00 0.07 0.12 X=-1 0.18 0.00 0.07 X=0 0.02 0.13 0.01 X=1 0.04 0.00 0.03 From the information in the table, calculate each of the following probabilities. Round your answers to two decimal places. (If necessary, consult a list of formulas.) (a) Given that X= 0, compute the probability that Y= 1. (b) Given that Xs-2, compute the probability that Y 1.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Transcribed Image Text:The joint probability distribution of two random variables, X and Y, is given in the table below.
Y=-2 Y=1 Y=3
X=-4
0.11
0.17
0.05
X=-2
0.00
0.07 0.12
X=-1
0.18
0.00
0.07
X=0
0.02
0.13
0.01
X=1
0.04
0.00 0.03
From the information in the table, calculate each of the following probabilities.
Round your answers to two decimal places.
(If necessary, consult a list of formulas.)
(a) Given that X= 0, compute the probability that Y= 1.
(b) Given that Xs-2, compute the probability that Ys1.
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