exercise:5541528963: Difference between revisions

From Stochiki
No edit summary
No edit summary
Line 1: Line 1:
The joint density function of <math>\log(X)</math> and <math>\log(Y)</math> equals <math>f(x,y)</math>. Which of the following expressions represent the joint density function of <math>X</math> and <math>Y</math>?
The joint density function of <math>\log(X)</math> and <math>\log(Y)</math> equals <math>f</math>. Which of the following expressions represent the joint density function of <math>X</math> and <math>Y</math> evaluated at <math>(x,y)</math>?


<ul class="mw-excansopts">
<ul class="mw-excansopts">

Revision as of 10:26, 5 July 2024

The joint density function of [math]\log(X)[/math] and [math]\log(Y)[/math] equals [math]f[/math]. Which of the following expressions represent the joint density function of [math]X[/math] and [math]Y[/math] evaluated at [math](x,y)[/math]?

  • [math]y^{-1}x^{-1}f(\ln(x),\ln(y))[/math]
  • [math]f(\ln(x),\ln(y))[/math]
  • [math]y^{-1}x^{-1}f(x,y)[/math]
  • [math]e^x e^yf(e^x,e^y)[/math]
  • [math]x^{-1}f(\ln(x),x) + y^{-1}f(x,\ln(y))[/math]