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Determine <math>\operatorname{Cov}(T,S)</math>.
Determine <math>\operatorname{Cov}(T,S)</math>.


<ol style="list-style-type:upper-alpha">
<ul class="mw-excansopts">
<li>-56.25</li>
<li>-56.25</li>
<li>0</li>
<li>0</li>

Latest revision as of 23:47, 6 July 2024

The variables [math]S[/math] and [math]T[/math] have the joint density function

[[math]] f(s,t) = \begin{cases} \frac{2}{675}, \quad 0 \lt s \lt 15, 0 \lt t \lt 3s \\ 0, \quad \textrm{otherwise} \end{cases} [[/math]]

Determine [math]\operatorname{Cov}(T,S)[/math].

  • -56.25
  • 0
  • 18.75
  • 68.75
  • 168.75