Q9. Let X and Y have the joint pdf f(x, y) = 2, 0≤x≤ y ≤ 1. Which of the following is true? (A) The marginal pdf of X is fx(x) = 2(1 − x), 0 ≤ x ≤ 1. (B) The probability P(X < Y= // (C) E(XY) = ² (D) The covariance Cov(X, Y) = 1/ (E) X and Y are uncorrelated.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q9. Let X and Y have the joint pdf f(x, y) = 2, 0≤x≤ y ≤ 1. Which of the following is true?
(A) The marginal pdf of X is fx(x) = 2(1-x),0 ≤ x ≤ 1.
(B) The probability P(X < Y) = 1/2
(C) E(XY) = ²
(D) The covariance Cov(X, Y) = 1/
(E) X and Y are uncorrelated.
Transcribed Image Text:Q9. Let X and Y have the joint pdf f(x, y) = 2, 0≤x≤ y ≤ 1. Which of the following is true? (A) The marginal pdf of X is fx(x) = 2(1-x),0 ≤ x ≤ 1. (B) The probability P(X < Y) = 1/2 (C) E(XY) = ² (D) The covariance Cov(X, Y) = 1/ (E) X and Y are uncorrelated.
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