A chemical system that results from a chemical reaction has two important components among others in a blend. The joint distribution in describing the proportions X₁ and X₂ is given to the right. (a) Give the marginal distribution fx, (x₁) of the proportion X, and verify that it is a valid density function. (b) What is the probability that proportion X₂ is less than 0.1, given that X₁ is 0.6? (a) Give the marginal distribution fx, (x₁). fx₁ (x₁) = 5x₁, for 0
A chemical system that results from a chemical reaction has two important components among others in a blend. The joint distribution in describing the proportions X₁ and X₂ is given to the right. (a) Give the marginal distribution fx, (x₁) of the proportion X, and verify that it is a valid density function. (b) What is the probability that proportion X₂ is less than 0.1, given that X₁ is 0.6? (a) Give the marginal distribution fx, (x₁). fx₁ (x₁) = 5x₁, for 0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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The marginal distribution f_x1 (x_1) (is or is not) a density
Transcribed Image Text:A chemical system that results from a chemical reaction
has two important components among others in a blend.
The joint distribution in describing the proportions X₁
and X₂ is given to the right.
(a) Give the marginal distribution fx, (x₁) of the
proportion X, and verify that it is a valid density
function.
(b) What is the probability that proportion X₂ is less than
0.1, given that X₁ is 0.6?
(a) Give the marginal distribution fx, (x₁).
4
fx, (x₁) = 5x₁, for 0<x₁ <1
Verify that fx, (x₁) is a valid density function.
The marginal distribution fx, (x1)
(22) - (2003
=
f(x1.x2)
a density function because
20x3, 0<x₂<x₁ <1
elsewhere
for
fx₁ (x₁) = 0
fx, (x₁) 20
fx, (x₁) ≤0
X₁ ER and
Transcribed Image Text:and X₂ is given to the right.
[₁x, (x₂)
, (x₁) dx₁ = 1.
fx, (x₁) dx₁ = 1.
fx₁ (x₁) = 1.
}}.
00
x₁,x₂ dxq dx₂ = 1.
X1) of the
id density
ion X₂ is less than
x₁)-
unction.
f(x1.x2) =
a density function because
20x32, 0<x₂<x₁ <1
0₁
elsewhere
for
x, ER and
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