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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 4 0.01 0.03 0.01 0.03 0.07 0.01 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 0.1 0.03 0.02 0.07 0.03 0.01 4 0.01 0.06 0.01 0.01 Find: (a) Give the marginal probability distribution of fx (0). (b) Give the marginal probability distribution of fy (3). (c) Give the conditional density distribution of X=3 given Y = 3. (d) Give E(X). (e) Give E(Y). () Give E(XI Y = 3). (9) Give the standard deviation of Y. "Complete the interpretation of the data. As the number of trip tends to from Welcome Rotonda to Fairview encountered by the motorcycle increases, the number of stoplights of its return (increase, decrease, or be uncorrelated). Therefore, X and Y have al (zero, negative, of positive) covariance. The covariance was calculated to be (numerical value). "Describe the correlation whether a strong, a weak, or no. X and Y have correlation. What is the correlation value? =

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 4 0.01 0.03 0.01 0.03 0.07 0.01 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 0.1 0.03 0.02 0.07 0.03 0.01 4 0.01 0.06 0.01 0.01 Find: (a) Give the marginal probability distribution of fx (0). (b) Give the marginal probability distribution of fy (3). (c) Give the conditional density distribution of X=3 given Y = 3. (d) Give E(X). (e) Give E(Y). () Give E(XI Y = 3). (9) Give the standard deviation of Y. "Complete the interpretation of the data. As the number of trip tends to from Welcome Rotonda to Fairview encountered by the motorcycle increases, the number of stoplights of its return (increase, decrease, or be uncorrelated). Therefore, X and Y have al (zero, negative, of positive) covariance. The covariance was calculated to be (numerical value). "Describe the correlation whether a strong, a weak, or no. X and Y have correlation. What is the correlation value? =

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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NOTE: subparts a,b and c is answered already.

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 1 2 4 0.01 0.01 0.03 0.07 0.01 0.03 0.05 0.08 0.15 1 0.03 0.02 2 0.03 0.11 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: (a) Give the marginal probability distribution of fx (0). (b) Give the marginal probability distribution of fy (3). (c) Give the conditional density distribution of X=3 given Y = 3. (d) Give E(X). . (e) Give E(Y). (1) Give E(X) Y = 3). (g) Give the standard deviation of Y. *Complete the interpretation of the data. As the number of from Welcome Rotonda to Fairview encountered by the motorcycle increases, the number of stoplights of its return trip tends to covariance was calculated to bel *Describe the correlation whether a strong, a weak, or no. (increase, decrease, or be uncorrelated). Therefore. X and Y have a (zero, negative, or positive) covariance. The (numerical value). X and Y have correlation. 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 1 2 4 0.01 0.01 0.03 0.07 0.01 0.03 0.05 0.08 0.15 1 0.03 0.02 2 0.03 0.11 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: (a) Give the marginal probability distribution of fx (0). (b) Give the marginal probability distribution of fy (3). (c) Give the conditional density distribution of X=3 given Y = 3. (d) Give E(X). . (e) Give E(Y). (1) Give E(X) Y = 3). (g) Give the standard deviation of Y. *Complete the interpretation of the data. As the number of from Welcome Rotonda to Fairview encountered by the motorcycle increases, the number of stoplights of its return trip tends to covariance was calculated to bel *Describe the correlation whether a strong, a weak, or no. (increase, decrease, or be uncorrelated). Therefore. X and Y have a (zero, negative, or positive) covariance. The (numerical value). X and Y have correlation. What is the correlation value? =
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