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A die is loaded so that the probability of a face coming up is proportional to the number on that face.  The die is rolled with outcome <math>X</math>.  Find <math>Var(X)</math>.
A die is loaded so that the probability of a face coming up is proportional to the number on that face.  The die is rolled with outcome <math>X</math>.  Find <math>Var(X)</math>.
<ul class="mw-excansopts">
<li>1.85</li>
<li>2.22</li>
<li>2.72</li>
<li>3.15</li>
<li>3.62</li>
</ul>


'''References'''
'''References'''


{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}}
{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}}

Latest revision as of 00:34, 25 June 2024

A die is loaded so that the probability of a face coming up is proportional to the number on that face. The die is rolled with outcome [math]X[/math]. Find [math]Var(X)[/math].

  • 1.85
  • 2.22
  • 2.72
  • 3.15
  • 3.62

References

Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.