A program consists of two modules. The number of errors, X, in the first module and the number of errors, Y, in the second module have the joint distribution, p(0, 0) = p(0, 1) = p(1, 0) = 0.2, p(1, 1) = p(1, 2) = p(1, 3) = 0.1, p(0, 2) = p(0, 3) = 0.05. (a) Find the marginal distributions of X and Y (b) Find E[X] and E[Y] (c) Find Var(X) and Var(Y) (d) Find Cov(X, Y) (e) Find the correlation between X and Y.
A program consists of two modules. The number of errors, X, in the first module and the number of errors, Y, in the second module have the joint distribution, p(0, 0) = p(0, 1) = p(1, 0) = 0.2, p(1, 1) = p(1, 2) = p(1, 3) = 0.1, p(0, 2) = p(0, 3) = 0.05. (a) Find the marginal distributions of X and Y (b) Find E[X] and E[Y] (c) Find Var(X) and Var(Y) (d) Find Cov(X, Y) (e) Find the correlation between X and Y.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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![A program consists of two modules. The number of errors, X, in the first module and the
number of errors, Y, in the second module have the joint distribution, p(0, 0) = p(0, 1) =
p(1, 0) = 0.2, p(1, 1) = p(1, 2) = p(1, 3) = 0.1, p(0, 2) = p(0, 3) = 0.05.
(a) Find the marginal distributions of X and Y
(b) Find E[X] and E[Y]
(c) Find Var(X) and Var(Y)
(d) Find Cov(X, Y)
(e) Find the correlation between X and Y.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faacafc71-04a2-4ee1-98a1-244fbc38e4f1%2F4f30a1e9-3945-4ec0-a6f0-a42b36d35bc2%2Fmv40rw_processed.png&w=3840&q=75)
Transcribed Image Text:A program consists of two modules. The number of errors, X, in the first module and the
number of errors, Y, in the second module have the joint distribution, p(0, 0) = p(0, 1) =
p(1, 0) = 0.2, p(1, 1) = p(1, 2) = p(1, 3) = 0.1, p(0, 2) = p(0, 3) = 0.05.
(a) Find the marginal distributions of X and Y
(b) Find E[X] and E[Y]
(c) Find Var(X) and Var(Y)
(d) Find Cov(X, Y)
(e) Find the correlation between X and Y.
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