A motorcycle drives from Welcome Rotonda to Fairview 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 Welcome Rotonda to Fairview 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

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A motorcycle drives from Welcome Rotonda to Fairview 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 Welcome Rotonda to Fairview 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
2
3
0.07
0.01
0.05
0.01
0.03
0.01
0.03
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
Find:
1. Standard deviation of Y.
2. Fill in the blanks
As the number of motorcycle drivers from Welcome Rotonda to Fairview encountered by the motorcycle
(increase, decrease, or be
(zero, negative, or positive) covariance. The
increases, the number of stoplights of its return trip tends to
uncorrelated). Therefore, X and Y have a
covariance was calculated to be
(numerical value).
*Describe the correlation whether a strong, a weak, or no.
X and Y have
correlation.
3. What is the correlation value? =
Transcribed Image Text:A motorcycle drives from Welcome Rotonda to Fairview 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 Welcome Rotonda to Fairview 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 2 3 0.07 0.01 0.05 0.01 0.03 0.01 0.03 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 Find: 1. Standard deviation of Y. 2. Fill in the blanks As the number of motorcycle drivers from Welcome Rotonda to Fairview encountered by the motorcycle (increase, decrease, or be (zero, negative, or positive) covariance. The increases, the number of stoplights of its return trip tends to uncorrelated). Therefore, X and Y have a covariance was calculated to be (numerical value). *Describe the correlation whether a strong, a weak, or no. X and Y have correlation. 3. What is the correlation value? =
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