Expectation of a continuous uniform distribution function of a random variable- university question












1














The question



I have that the expected value will be $$int_0^{200}f(x)g(x)mathrm dx$$ where g(x) is the profit function, but I am unsure what to actually substitute g(x) for.



Any help would be very much appreciated.










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    1














    The question



    I have that the expected value will be $$int_0^{200}f(x)g(x)mathrm dx$$ where g(x) is the profit function, but I am unsure what to actually substitute g(x) for.



    Any help would be very much appreciated.










    share|cite|improve this question



























      1












      1








      1


      1





      The question



      I have that the expected value will be $$int_0^{200}f(x)g(x)mathrm dx$$ where g(x) is the profit function, but I am unsure what to actually substitute g(x) for.



      Any help would be very much appreciated.










      share|cite|improve this question















      The question



      I have that the expected value will be $$int_0^{200}f(x)g(x)mathrm dx$$ where g(x) is the profit function, but I am unsure what to actually substitute g(x) for.



      Any help would be very much appreciated.







      statistics probability-distributions






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      edited Nov 30 '18 at 13:13









      Siong Thye Goh

      99.8k1464117




      99.8k1464117










      asked Nov 30 '18 at 12:59









      Jacopo SalvatoreJacopo Salvatore

      91




      91






















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          The profit has been given to you:



          $$g(x) = begin{cases}x-0.5(n-x) &, x le n \ n-5(x-n)&, x >n end{cases}$$



          Upon evaluating the expectation, it can be expressed in terms of $n$.






          share|cite|improve this answer





















          • Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
            – Jacopo Salvatore
            Dec 1 '18 at 16:11












          • capital $X$ denotes random variable.
            – Siong Thye Goh
            Dec 2 '18 at 1:58











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          1 Answer
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          The profit has been given to you:



          $$g(x) = begin{cases}x-0.5(n-x) &, x le n \ n-5(x-n)&, x >n end{cases}$$



          Upon evaluating the expectation, it can be expressed in terms of $n$.






          share|cite|improve this answer





















          • Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
            – Jacopo Salvatore
            Dec 1 '18 at 16:11












          • capital $X$ denotes random variable.
            – Siong Thye Goh
            Dec 2 '18 at 1:58
















          2














          The profit has been given to you:



          $$g(x) = begin{cases}x-0.5(n-x) &, x le n \ n-5(x-n)&, x >n end{cases}$$



          Upon evaluating the expectation, it can be expressed in terms of $n$.






          share|cite|improve this answer





















          • Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
            – Jacopo Salvatore
            Dec 1 '18 at 16:11












          • capital $X$ denotes random variable.
            – Siong Thye Goh
            Dec 2 '18 at 1:58














          2












          2








          2






          The profit has been given to you:



          $$g(x) = begin{cases}x-0.5(n-x) &, x le n \ n-5(x-n)&, x >n end{cases}$$



          Upon evaluating the expectation, it can be expressed in terms of $n$.






          share|cite|improve this answer












          The profit has been given to you:



          $$g(x) = begin{cases}x-0.5(n-x) &, x le n \ n-5(x-n)&, x >n end{cases}$$



          Upon evaluating the expectation, it can be expressed in terms of $n$.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Nov 30 '18 at 13:15









          Siong Thye GohSiong Thye Goh

          99.8k1464117




          99.8k1464117












          • Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
            – Jacopo Salvatore
            Dec 1 '18 at 16:11












          • capital $X$ denotes random variable.
            – Siong Thye Goh
            Dec 2 '18 at 1:58


















          • Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
            – Jacopo Salvatore
            Dec 1 '18 at 16:11












          • capital $X$ denotes random variable.
            – Siong Thye Goh
            Dec 2 '18 at 1:58
















          Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
          – Jacopo Salvatore
          Dec 1 '18 at 16:11






          Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
          – Jacopo Salvatore
          Dec 1 '18 at 16:11














          capital $X$ denotes random variable.
          – Siong Thye Goh
          Dec 2 '18 at 1:58




          capital $X$ denotes random variable.
          – Siong Thye Goh
          Dec 2 '18 at 1:58


















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