2. Let X₁, X2, and X3 be independent random variables such that E(X₁) 6 Further, suppose that V(X₁): 3 ‚V(X2) = and V(X3) 4 5' 2' 1. Compute E(eX1X2 + πX2X3 + √19X3+3) = 10 2. Compute V(√6X1 + √7X2 + 7X3 + = = 5 ‚E(X₂) 2 -an and E(X3) = = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Let X₁, X2, and X3 be independent random variables such that E(X₁)
6
Further, suppose that V(X₁) = 2/3, V(X₂)
4
5
1. Compute E(eX₁X2 + πX2X3 + √19X3+3)
=
10
2. Compute V(√√6X1 + √7X2 + 7X3+ 17
and V(X3) =
=
=
5
E(X₂)
NIN
2
and E(X3)
-
1
9
Transcribed Image Text:2. Let X₁, X2, and X3 be independent random variables such that E(X₁) 6 Further, suppose that V(X₁) = 2/3, V(X₂) 4 5 1. Compute E(eX₁X2 + πX2X3 + √19X3+3) = 10 2. Compute V(√√6X1 + √7X2 + 7X3+ 17 and V(X3) = = = 5 E(X₂) NIN 2 and E(X3) - 1 9
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