Given below is a bivariate distribution for the random variables a and y. f(x, y) x 0.2 70 70 0.6 50 0.2 40 60 a. Compute the expected value and the variance for æ and y. E(x) = 34 E(y) = 56 Var(æ) = 384 Var(y) = 64 b. Develop a probability distribution for æ + y (to 2 decimals). * +y f(x + y) 0.2 140 0.6 70 0.2 100 c. Using the result of part (b), compute E(x + y) and Var(x + y) . E(x + y) Var(x + y) = d. Compute the covariance and correlation x and y. If required, round your answers to two decimal places. Covariance = Correlation 20
Given below is a bivariate distribution for the random variables a and y. f(x, y) x 0.2 70 70 0.6 50 0.2 40 60 a. Compute the expected value and the variance for æ and y. E(x) = 34 E(y) = 56 Var(æ) = 384 Var(y) = 64 b. Develop a probability distribution for æ + y (to 2 decimals). * +y f(x + y) 0.2 140 0.6 70 0.2 100 c. Using the result of part (b), compute E(x + y) and Var(x + y) . E(x + y) Var(x + y) = d. Compute the covariance and correlation x and y. If required, round your answers to two decimal places. Covariance = Correlation 20
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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please answer c and d
Transcribed Image Text:Given below is a bivariate distribution for the random variables a and y.
f(x, y) x
0.2
70
70
0.6
50
0.2
40
60
a. Compute the expected value and the variance for æ and y.
E(x) =
34
E(y) =
56
Var(æ) =
384
Var(y) =
64
b. Develop a probability distribution for æ + y (to 2 decimals).
* +y
f(x + y)
0.2
140
0.6
70
0.2
100
c. Using the result of part (b), compute E(x + y) and Var(x + y) .
E(x + y)
Var(x + y) =
d. Compute the covariance and correlation
x and y. If required, round your answers to two decimal places.
Covariance =
Correlation
20
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