Suppose X, Y are two continuous random variables, with joint PDF fx.y(2, y) > 0 and joint CDF Fx r(z, 9). In addition, X has marginal PDF fx(x) >0 and marginal CDF Fx(2): Y has marginal PDF fy(v) > 0 and marginal CDF FY (1). Which statementis) is/are equivalent to X is independent with Y? Select all that apply. O x and Y is conditional independent give another random variable 2. O For joint and marginal PDFS, fx.r(r, v) = fx(2)fr(v). O For conditional PDFS, xr(lw)-fx(). O For covariance, Cov(X, Y) -0. O PIX < 3,Y < 1 = P{X < 3]P{Y < 1 I For joint and marginal CDFS, Fx.y(2,y) = Fx(2)Fy (y).
Suppose X, Y are two continuous random variables, with joint PDF fx.y(2, y) > 0 and joint CDF Fx r(z, 9). In addition, X has marginal PDF fx(x) >0 and marginal CDF Fx(2): Y has marginal PDF fy(v) > 0 and marginal CDF FY (1). Which statementis) is/are equivalent to X is independent with Y? Select all that apply. O x and Y is conditional independent give another random variable 2. O For joint and marginal PDFS, fx.r(r, v) = fx(2)fr(v). O For conditional PDFS, xr(lw)-fx(). O For covariance, Cov(X, Y) -0. O PIX < 3,Y < 1 = P{X < 3]P{Y < 1 I For joint and marginal CDFS, Fx.y(2,y) = Fx(2)Fy (y).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![. Suppose X, Y are two continuous random variables, with joint PDF fx.y(2, y) > 0 and joint CDF Fxy(a, y). In addition, X has marginal PDF fx(x) > 0
and marginal CDF Fx(z); Y has marginal PDF fy (y) > 0 and marginal CDF FY(y). Which statementis) is/are equivalent to X is independent with Y?
Select all that apply.
X and Y is conditional independent give another random variable Z.
For joint and marginal PDFS, fxx(r, v) fx(x)fv(v).
For conditional PDFS, xv () - fx(2).
For covariance, Cov(X,Y) = 0.
O PIX < 3, Y < 1) = P(X < 3]P[Y < 1}
O For joint and marginal CDFS, Fxy(2, y) = Fx(z) Fy (y).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc5efcc2-6887-4a3f-bd8c-e45c0e4a65f6%2Fff965827-a28c-4731-a0d1-9d322cd9bb22%2Faox997_processed.jpeg&w=3840&q=75)
Transcribed Image Text:. Suppose X, Y are two continuous random variables, with joint PDF fx.y(2, y) > 0 and joint CDF Fxy(a, y). In addition, X has marginal PDF fx(x) > 0
and marginal CDF Fx(z); Y has marginal PDF fy (y) > 0 and marginal CDF FY(y). Which statementis) is/are equivalent to X is independent with Y?
Select all that apply.
X and Y is conditional independent give another random variable Z.
For joint and marginal PDFS, fxx(r, v) fx(x)fv(v).
For conditional PDFS, xv () - fx(2).
For covariance, Cov(X,Y) = 0.
O PIX < 3, Y < 1) = P(X < 3]P[Y < 1}
O For joint and marginal CDFS, Fxy(2, y) = Fx(z) Fy (y).
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