Expectation of a continuous uniform distribution function of a random variable- university question
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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
edited Nov 30 '18 at 13:13
Siong Thye Goh
100k1465117
asked Nov 30 '18 at 12:59
Jacopo SalvatoreJacopo Salvatore
91
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add a comment |
$begingroup$
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
edited Nov 30 '18 at 13:13
Siong Thye Goh
100k1465117
asked Nov 30 '18 at 12:59
Jacopo SalvatoreJacopo Salvatore
91
$endgroup$
add a comment |
$begingroup$
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
edited Nov 30 '18 at 13:13
Siong Thye Goh
100k1465117
asked Nov 30 '18 at 12:59
Jacopo SalvatoreJacopo Salvatore
91
$endgroup$
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
statistics probability-distributions
edited Nov 30 '18 at 13:13
Siong Thye Goh
100k1465117
asked Nov 30 '18 at 12:59
Jacopo SalvatoreJacopo Salvatore
91
edited Nov 30 '18 at 13:13
Siong Thye Goh
100k1465117
asked Nov 30 '18 at 12:59
Jacopo SalvatoreJacopo Salvatore
91
edited Nov 30 '18 at 13:13
Siong Thye Goh
100k1465117
edited Nov 30 '18 at 13:13
Siong Thye Goh
100k1465117
edited Nov 30 '18 at 13:13
Siong Thye Goh
100k1465117
100k1465117
asked Nov 30 '18 at 12:59
Jacopo SalvatoreJacopo Salvatore
91
asked Nov 30 '18 at 12:59
Jacopo SalvatoreJacopo Salvatore
91
asked Nov 30 '18 at 12:59
Jacopo SalvatoreJacopo Salvatore
91
91
add a comment |
add a comment |
1 Answer
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$begingroup$
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 $n$.
answered Nov 30 '18 at 13:15
Siong Thye GohSiong Thye Goh
100k1465117
$endgroup$
$begingroup$
Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
$endgroup$
– Jacopo Salvatore
Dec 1 '18 at 16:11
$begingroup$
capital $X$ denotes random variable.
$endgroup$
– Siong Thye Goh
Dec 2 '18 at 1:58
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
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votes
$begingroup$
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 $n$.
answered Nov 30 '18 at 13:15
Siong Thye GohSiong Thye Goh
100k1465117
$endgroup$
$begingroup$
Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
$endgroup$
– Jacopo Salvatore
Dec 1 '18 at 16:11
$begingroup$
capital $X$ denotes random variable.
$endgroup$
– Siong Thye Goh
Dec 2 '18 at 1:58
add a comment |
$begingroup$
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 $n$.
answered Nov 30 '18 at 13:15
Siong Thye GohSiong Thye Goh
100k1465117
$endgroup$
$begingroup$
Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
$endgroup$
– Jacopo Salvatore
Dec 1 '18 at 16:11
$begingroup$
capital $X$ denotes random variable.
$endgroup$
– Siong Thye Goh
Dec 2 '18 at 1:58
add a comment |
$begingroup$
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 $n$.
answered Nov 30 '18 at 13:15
Siong Thye GohSiong Thye Goh
100k1465117
$endgroup$
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 $n$.
answered Nov 30 '18 at 13:15
Siong Thye GohSiong Thye Goh
100k1465117
answered Nov 30 '18 at 13:15
Siong Thye GohSiong Thye Goh
100k1465117
answered Nov 30 '18 at 13:15
Siong Thye GohSiong Thye Goh
100k1465117
answered Nov 30 '18 at 13:15
Siong Thye GohSiong Thye Goh
100k1465117
100k1465117
$begingroup$
Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
$endgroup$
– Jacopo Salvatore
Dec 1 '18 at 16:11
$begingroup$
capital $X$ denotes random variable.
$endgroup$
– Siong Thye Goh
Dec 2 '18 at 1:58
add a comment |
$begingroup$
Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
$endgroup$
– Jacopo Salvatore
Dec 1 '18 at 16:11
$begingroup$
capital $X$ denotes random variable.
$endgroup$
– Siong Thye Goh
Dec 2 '18 at 1:58
$begingroup$
Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
$endgroup$
– Jacopo Salvatore
Dec 1 '18 at 16:11
$begingroup$
Okay, thank you. Why did they give me the profit as capital X though? Does it make a difference?
$endgroup$
– Jacopo Salvatore
Dec 1 '18 at 16:11
$begingroup$
capital $X$ denotes random variable.
$endgroup$
– Siong Thye Goh
Dec 2 '18 at 1:58
$begingroup$
capital $X$ denotes random variable.
$endgroup$
– Siong Thye Goh
Dec 2 '18 at 1:58
add a comment |
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