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     x y 0 1 2 3 4 0 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 Give E(X| Y = 3) Give the standard deviation of Y Describe the correlation whether a strong, a weak, or no: X and Y have _______ correlation. What is the correlation value? = __________

Question

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

 

 

x

y

0

1

2

3

4

0

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

Give E(X| Y = 3)

Give the standard deviation of Y

Describe the correlation whether a stronga weak, or no:

X and Y have _______ correlation.

What is the correlation value? = __________

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