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fy(y) = (fxy(x,y) da 2 = √ ² 1/2 ² 1 (1+3y² ) dx = 1/₁ (1+34²) 5²x dn = 1 / (1+3y² ) [21²] ² = (1+3y²) [4-0] fycy) = 1/2 (1+3y²] 10 ≤ y ≤ a) conditional pdf of x given I fxy (my] fxy (ally) = fyly) x1(1+38²) 거 Z fx11 (21) = 1/2 / 0≤x≤2 b) P(Z

fy(y) = (fxy(x,y) da 2 = √ ² 1/2 ² 1 (1+3y² ) dx = 1/₁ (1+34²) 5²x dn = 1 / (1+3y² ) [21²] ² = (1+3y²) [4-0] fycy) = 1/2 (1+3y²] 10 ≤ y ≤ a) conditional pdf of x given I fxy (my] fxy (ally) = fyly) x1(1+38²) 거 Z fx11 (21) = 1/2 / 0≤x≤2 b) P(Z

A First Course in Probability (10th Edition)
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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Can you rewrite it? I dont understand the handwriting
Let X & Y have joint pdf. fxy (2²₁ y) = 2/³ (1+ 3y² ) 30≤x≤2 Rosy≤) Marginal pdf of y fy(y) = (fxy(x, y)dx = √²/1/2/²1 (1+3y² )dx = 1 / (1+3y²) $²x dx 2 [₂√7²] (₂h²+1) === = (1+3y²) [4-0] fycy) == (1+3y2]:10=ysal a) conditional pdf of x given y fxly (ally) = fxy (my] fyry) (₂RE+1) K = = ћ Снау2) 26 7 = (hik) Fix) 7 Z=X=Dí b) P ( 2² < x < 1₂2 11 = 3 ) = 5³² fxy (201) da up xx 77 {=} ] } = [(4)_₂ (²)] } =
Transcribed Image Text:Let X & Y have joint pdf. fxy (2²₁ y) = 2/³ (1+ 3y² ) 30≤x≤2 Rosy≤) Marginal pdf of y fy(y) = (fxy(x, y)dx = √²/1/2/²1 (1+3y² )dx = 1 / (1+3y²) $²x dx 2 [₂√7²] (₂h²+1) === = (1+3y²) [4-0] fycy) == (1+3y2]:10=ysal a) conditional pdf of x given y fxly (ally) = fxy (my] fyry) (₂RE+1) K = = ћ Снау2) 26 7 = (hik) Fix) 7 Z=X=Dí b) P ( 2² < x < 1₂2 11 = 3 ) = 5³² fxy (201) da up xx 77 {=} ] } = [(4)_₂ (²)] } =
[4] [8-13개가는데 =(금) pct<xct1=평) = 중국 | c) Marginal pdf of x form) = {fny(my) dy Pp(ele+1)xks = 푹 8 14382 dy [[ eRe+R] k = [0-0-1+1] c = =그렇 fax) = 즐 j드리드2 기
Transcribed Image Text:[4] [8-13개가는데 =(금) pct<xct1=평) = 중국 | c) Marginal pdf of x form) = {fny(my) dy Pp(ele+1)xks = 푹 8 14382 dy [[ eRe+R] k = [0-0-1+1] c = =그렇 fax) = 즐 j드리드2 기
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