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)
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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![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)] } =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4638499-45b0-47f4-88b3-cab69b5f6afa%2Fde63e441-2667-49e3-8eb7-673204d7e80d%2F0p1enpb_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4638499-45b0-47f4-88b3-cab69b5f6afa%2Fde63e441-2667-49e3-8eb7-673204d7e80d%2F0nbb85s_processed.jpeg&w=3840&q=75)
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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