Theorem 5.6 (d) Distribution of the Quotient of Two Random Variables. If X and Y are independent continuous random variables, then the p.d.f. of the quotient Z = X/Y, is given by : 81(2) = 8(vz, v) lv I dv = | fx(vz) fy(v) I v I dv (5-33) %3D ... -00

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Prove the theorem

Theorem 5.6 (d) Distribution of the Quotient of Two Random Variables. If X
and Y are independent continuous random variables, then the p.d.f. of the quotient Z = X/Y, is
given by :
81(2) =| 8(vz, v) lv I dv =
| 8(vz, v) 1v I dv =
| fx(vz) fy(v) lv I dv
.. (5-33)
- D0
Transcribed Image Text:Theorem 5.6 (d) Distribution of the Quotient of Two Random Variables. If X and Y are independent continuous random variables, then the p.d.f. of the quotient Z = X/Y, is given by : 81(2) =| 8(vz, v) lv I dv = | 8(vz, v) 1v I dv = | fx(vz) fy(v) lv I dv .. (5-33) - D0
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