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Given below is a bivariate distribution for the random variables e and y. f(x, y) x 0.3 50 80 0.6 20 30 0.1 50 60 a. Compute the expected value and the variance for t and y. E(x) = E(y) = Var(a) = Var(y) = b. Develop a probability distribution for æ+y (to 2 decimals). x +y f(x + y) 130 50 110 c. Using the result of part (b), compute E(x + y) and Var(x + y). E(x + y) : Var(z + y) = d. Compute the covariance and correlation for a and y. If required, round your answers to two decimal places. Covariance = Correlation =

Given below is a bivariate distribution for the random variables e and y. f(x, y) x 0.3 50 80 0.6 20 30 0.1 50 60 a. Compute the expected value and the variance for t and y. E(x) = E(y) = Var(a) = Var(y) = b. Develop a probability distribution for æ+y (to 2 decimals). x +y f(x + y) 130 50 110 c. Using the result of part (b), compute E(x + y) and Var(x + y). E(x + y) : Var(z + y) = d. Compute the covariance and correlation for a and y. If required, round your answers to two decimal places. Covariance = Correlation =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 14E
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Given below is a bivariate distribution for the random variables e and y. f(x, y) x 0.3 50 80 0.6 20 30 0.1 50 60 a. Compute the expected value and the variance for t and y. E(x) = E(y) = Var(a) = Var(y) = b. Develop a probability distribution for æ+y (to 2 decimals). x +y f(x + y) 130 50 110 c. Using the result of part (b), compute E(x + y) and Var(x + y). E(x + y) : Var(z + y) = d. Compute the covariance and correlation for a and y. If required, round your answers to two decimal places. Covariance = Correlation =
Transcribed Image Text:Given below is a bivariate distribution for the random variables e and y. f(x, y) x 0.3 50 80 0.6 20 30 0.1 50 60 a. Compute the expected value and the variance for t and y. E(x) = E(y) = Var(a) = Var(y) = b. Develop a probability distribution for æ+y (to 2 decimals). x +y f(x + y) 130 50 110 c. Using the result of part (b), compute E(x + y) and Var(x + y). E(x + y) : Var(z + y) = d. Compute the covariance and correlation for a and y. If required, round your answers to two decimal places. Covariance = Correlation =
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