in the a 51 The percentage of Copper and iron certain kind of one are, X, and X₂. If the joint density of these random variables is given by Jespeefly two 13 (5x₁+x₂) for X₁70, X₂0 11 f(x₁, x 3) = 100 and x+2x22 else where use the distribution function technique to find the probability density of y = x₁ + x₂. Also find E(Y). the expected. total percentage of copper and iron in the ore.

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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Si
in the a
51 The percentage of Copper and iron
certain kind of one are, respectuly
X₁ and X₂. If the joint density of these
random variables is given by
two
11
(3 (5x₁+x₂) for X₁70₁ X₂0
and x + 2x2 <2
else where
f(x₁, x₂).
1.
use the distribution function technique to find
The probability density of y = x₁ + x₂. Also
find E(Y). the expected total percentage
of copper and iron in the ore.
S
g
Transcribed Image Text:Si in the a 51 The percentage of Copper and iron certain kind of one are, respectuly X₁ and X₂. If the joint density of these random variables is given by two 11 (3 (5x₁+x₂) for X₁70₁ X₂0 and x + 2x2 <2 else where f(x₁, x₂). 1. use the distribution function technique to find The probability density of y = x₁ + x₂. Also find E(Y). the expected total percentage of copper and iron in the ore. S g
if the prob. density of X is
0<x<2
1/2 fror
fool!
of X is given by
else where
3
find the prob. density of Y=X²³. Also, plot te
graphs of the probability densities of X and Y
and indicate the respective area under
that represent P (1/2< x <D) and P(xs<Y<1]
under the Curves
Transcribed Image Text:if the prob. density of X is 0<x<2 1/2 fror fool! of X is given by else where 3 find the prob. density of Y=X²³. Also, plot te graphs of the probability densities of X and Y and indicate the respective area under that represent P (1/2< x <D) and P(xs<Y<1] under the Curves
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