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(a) Find the probability PLY>X) (b) Find the marginal distributions of X and Y. (c) Are X and Y independent? If not, find Cov(X, Y).

(a) Find the probability PLY>X) (b) Find the marginal distributions of X and Y. (c) Are X and Y independent? If not, find Cov(X, Y).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Let X denote the number of times a photocopy machine will malfunction: 0, 1, 2, or 3 times, on any given month. Let Y denote the number of times a technician is called on an emergency call. The joint p.m.f p(x, y) is presented in the table below I X 0 1 2 3 0 0.15 0.30 0.05 0 1 0.05 0.15 0.05 0.05 2 0 0.05 0.10 0.05 (a) Find the probability P(Y>X) (b) Find the marginal distributions of X and Y. (c) Are X and Y independent? If not, find Cov(X, Y).
Transcribed Image Text:Let X denote the number of times a photocopy machine will malfunction: 0, 1, 2, or 3 times, on any given month. Let Y denote the number of times a technician is called on an emergency call. The joint p.m.f p(x, y) is presented in the table below I X 0 1 2 3 0 0.15 0.30 0.05 0 1 0.05 0.15 0.05 0.05 2 0 0.05 0.10 0.05 (a) Find the probability P(Y>X) (b) Find the marginal distributions of X and Y. (c) Are X and Y independent? If not, find Cov(X, Y).
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