= == e = tutte (-14-t 1 1 24 परे -2/22 TGE и जन = √ZTTC HW Compure this to density function to = Chi Square distribution V=1

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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Back to example !
the distribution function of 2²
F(u) = P(Z² ≤u) = О, и со
P(2²≤u), u ²0
n
ZO
Flu) = P(2² ≤u)
= P(|Z| ≤√u)
(2/² = 2 = 2^²-) =
=
=
1271
e-x²
F(u) = P(2²≤u) = (0₁ 4²0
dx
Svate ²² dx, uzo
azo,
2
F'(u) = (55² F e - ²² dx)'
뿌S
= (²) J
₁
所
(4²)
(S" √2Fe² =²²dt) = 1 e 2². 2u
е
е
(Sulx) f(t) dt)' = f(v(x) )√(x) - f(u(x))u²(x)
е
T
름
T
n
(3 - 4 ² - ) — _-212711 - 3 - ²/² ²7/12 -
77 ( )
- 12/24 - 12/02
и
2TT
= TETT C
е
HW Compare this to density function
to
Chi square distribution
distribution V=1
Transcribed Image Text:Back to example ! the distribution function of 2² F(u) = P(Z² ≤u) = О, и со P(2²≤u), u ²0 n ZO Flu) = P(2² ≤u) = P(|Z| ≤√u) (2/² = 2 = 2^²-) = = = 1271 e-x² F(u) = P(2²≤u) = (0₁ 4²0 dx Svate ²² dx, uzo azo, 2 F'(u) = (55² F e - ²² dx)' 뿌S = (²) J ₁ 所 (4²) (S" √2Fe² =²²dt) = 1 e 2². 2u е е (Sulx) f(t) dt)' = f(v(x) )√(x) - f(u(x))u²(x) е T 름 T n (3 - 4 ² - ) — _-212711 - 3 - ²/² ²7/12 - 77 ( ) - 12/24 - 12/02 и 2TT = TETT C е HW Compare this to density function to Chi square distribution distribution V=1
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