A motorcycle drives from Buendia to Quiapo and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by 1 2 4 0.01 0.01 0.03 0.08 0.15 0.07 0.01 0.03 0.05 0.03 0.02 0.03 0.11 0.01 0.01 0.02 0.07 0.1 0.03 0.01 0.01 0.06 0.03 0.01 0.01 (g) Give the standard deviation of Y. Answer

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Chapter9: Counting And Probability
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A motorcycle drives from Buendia to Quiapo and back using the same course everyday. There are four stoplights on the course.
Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by
y
1
2
3
0.01
0.01
0.03
0.07
0.01
1
0.03
0.05
0.08
0.03
0.02
2
0.03
0.11
0.15
0.01
0.01
3
0.02
0.07
0.1
0.03
0.01
4
0.01
0.06
0.03
0.01
0.01
(g) Give the standard deviation of Y. Answer=
Transcribed Image Text:A motorcycle drives from Buendia to Quiapo and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by y 1 2 3 0.01 0.01 0.03 0.07 0.01 1 0.03 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 3 0.02 0.07 0.1 0.03 0.01 4 0.01 0.06 0.03 0.01 0.01 (g) Give the standard deviation of Y. Answer=
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