Given $mathbb E(5X+2)=12$ and $mathbb E(X|Y)=Y^3$ compute $mathbb E(Y^3)$ Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Prove that $EX=E(E(X|Y))$Given $X$ and $Y$ are independent N(0,1) random variables and $Z = sqrtX^2+Y^2$ from the marginal pdf of $Z$Evaluate $mathbbE[e^e^x] =int_mathbbRe^e^xf(x)dx$, where $f(x)$ is Gaussian kernel.Given Max has probability p to win each game, compute the expected number of runs* after n gamesProbability Question. Prove that P(A|B) = P(A) given that P(A|B)= 0.52 and P(B)= 0.43Compute factorized and marginalized distribution of the graphFind $limsup_ntoinfty Y_n$ given the value of $mathbbE(limsup_ntoinfty Y_n)$Variance of random sum of random i.i.d. variables - spot the mistake?Conditional expectation with a third random variableConditional expectation of minimum of exponential random variablesConditional Expectation of a Sum of Random Variables and a Random Integer
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Given $mathbb E(5X+2)=12$ and $mathbb E(X|Y)=Y^3$ compute $mathbb E(Y^3)$
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Prove that $EX=E(E(X|Y))$Given $X$ and $Y$ are independent N(0,1) random variables and $Z = sqrtX^2+Y^2$ from the marginal pdf of $Z$Evaluate $mathbbE[e^e^x] =int_mathbbRe^e^xf(x)dx$, where $f(x)$ is Gaussian kernel.Given Max has probability p to win each game, compute the expected number of runs* after n gamesProbability Question. Prove that P(A|B) = P(A) given that P(A|B)= 0.52 and P(B)= 0.43Compute factorized and marginalized distribution of the graphFind $limsup_ntoinfty Y_n$ given the value of $mathbbE(limsup_ntoinfty Y_n)$Variance of random sum of random i.i.d. variables - spot the mistake?Conditional expectation with a third random variableConditional expectation of minimum of exponential random variablesConditional Expectation of a Sum of Random Variables and a Random Integer
$begingroup$
Given $mathbb E(5X+2)=12$ and $mathbb E(X|Y)=Y^3$ compute $mathbb E(Y^3)$.
I've been trying this a million different ways and can't seem to reach a final answer, I would love any suggestions!
probability probability-theory conditional-expectation conditional-probability expected-value
edited Mar 27 at 20:31
callculus
18.9k31629
asked Mar 27 at 20:23
LnicksLnicks
161
$endgroup$
add a comment |
$begingroup$
Given $mathbb E(5X+2)=12$ and $mathbb E(X|Y)=Y^3$ compute $mathbb E(Y^3)$.
I've been trying this a million different ways and can't seem to reach a final answer, I would love any suggestions!
probability probability-theory conditional-expectation conditional-probability expected-value
edited Mar 27 at 20:31
callculus
18.9k31629
asked Mar 27 at 20:23
LnicksLnicks
161
$endgroup$
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial, and equation editing how-to
$endgroup$
– Fareed AF
Mar 27 at 20:26
add a comment |
$begingroup$
Given $mathbb E(5X+2)=12$ and $mathbb E(X|Y)=Y^3$ compute $mathbb E(Y^3)$.
I've been trying this a million different ways and can't seem to reach a final answer, I would love any suggestions!
probability probability-theory conditional-expectation conditional-probability expected-value
edited Mar 27 at 20:31
callculus
18.9k31629
asked Mar 27 at 20:23
LnicksLnicks
161
$endgroup$
Given $mathbb E(5X+2)=12$ and $mathbb E(X|Y)=Y^3$ compute $mathbb E(Y^3)$.
I've been trying this a million different ways and can't seem to reach a final answer, I would love any suggestions!
probability probability-theory conditional-expectation conditional-probability expected-value
probability probability-theory conditional-expectation conditional-probability expected-value
edited Mar 27 at 20:31
callculus
18.9k31629
asked Mar 27 at 20:23
LnicksLnicks
161
edited Mar 27 at 20:31
callculus
18.9k31629
asked Mar 27 at 20:23
LnicksLnicks
161
edited Mar 27 at 20:31
callculus
18.9k31629
edited Mar 27 at 20:31
callculus
18.9k31629
edited Mar 27 at 20:31
callculus
18.9k31629
18.9k31629
asked Mar 27 at 20:23
LnicksLnicks
161
asked Mar 27 at 20:23
LnicksLnicks
161
asked Mar 27 at 20:23
LnicksLnicks
161
161
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial, and equation editing how-to
$endgroup$
– Fareed AF
Mar 27 at 20:26
add a comment |
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial, and equation editing how-to
$endgroup$
– Fareed AF
Mar 27 at 20:26
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial, and equation editing how-to
$endgroup$
– Fareed AF
Mar 27 at 20:26
$begingroup$
Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial, and equation editing how-to
$endgroup$
– Fareed AF
Mar 27 at 20:26
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
$$mathbb E(5X+2)=5,mathbb E(X)+2=12 implies mathbb E(X)=2$$
$$mathbb E(Y^3)=mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)=2$$
edited Mar 27 at 21:08
Chase Ryan Taylor
4,46221531
answered Mar 27 at 20:31
Fareed AFFareed AF
972112
$endgroup$
2
$begingroup$
For any readers: Reference this answer to see that $mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)$.
$endgroup$
– Chase Ryan Taylor
Mar 27 at 21:13
add a comment |
$begingroup$
$E[X] = 2$.
Since $E[ X|Y] = Y^3$, then $E[Y^3] = E[ E[X|Y]] = E[X] = 2$.
answered Mar 27 at 20:34
dnqxtdnqxt
7625
$endgroup$
add a comment |
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2 Answers
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2 Answers
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$begingroup$
$$mathbb E(5X+2)=5,mathbb E(X)+2=12 implies mathbb E(X)=2$$
$$mathbb E(Y^3)=mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)=2$$
edited Mar 27 at 21:08
Chase Ryan Taylor
4,46221531
answered Mar 27 at 20:31
Fareed AFFareed AF
972112
$endgroup$
2
$begingroup$
For any readers: Reference this answer to see that $mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)$.
$endgroup$
– Chase Ryan Taylor
Mar 27 at 21:13
add a comment |
$begingroup$
$$mathbb E(5X+2)=5,mathbb E(X)+2=12 implies mathbb E(X)=2$$
$$mathbb E(Y^3)=mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)=2$$
edited Mar 27 at 21:08
Chase Ryan Taylor
4,46221531
answered Mar 27 at 20:31
Fareed AFFareed AF
972112
$endgroup$
2
$begingroup$
For any readers: Reference this answer to see that $mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)$.
$endgroup$
– Chase Ryan Taylor
Mar 27 at 21:13
add a comment |
$begingroup$
$$mathbb E(5X+2)=5,mathbb E(X)+2=12 implies mathbb E(X)=2$$
$$mathbb E(Y^3)=mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)=2$$
edited Mar 27 at 21:08
Chase Ryan Taylor
4,46221531
answered Mar 27 at 20:31
Fareed AFFareed AF
972112
$endgroup$
$$mathbb E(5X+2)=5,mathbb E(X)+2=12 implies mathbb E(X)=2$$
$$mathbb E(Y^3)=mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)=2$$
edited Mar 27 at 21:08
Chase Ryan Taylor
4,46221531
answered Mar 27 at 20:31
Fareed AFFareed AF
972112
edited Mar 27 at 21:08
Chase Ryan Taylor
4,46221531
edited Mar 27 at 21:08
Chase Ryan Taylor
4,46221531
edited Mar 27 at 21:08
Chase Ryan Taylor
4,46221531
4,46221531
answered Mar 27 at 20:31
Fareed AFFareed AF
972112
answered Mar 27 at 20:31
Fareed AFFareed AF
972112
answered Mar 27 at 20:31
Fareed AFFareed AF
972112
972112
2
$begingroup$
For any readers: Reference this answer to see that $mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)$.
$endgroup$
– Chase Ryan Taylor
Mar 27 at 21:13
add a comment |
2
$begingroup$
For any readers: Reference this answer to see that $mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)$.
$endgroup$
– Chase Ryan Taylor
Mar 27 at 21:13
2
2
$begingroup$
For any readers: Reference this answer to see that $mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)$.
$endgroup$
– Chase Ryan Taylor
Mar 27 at 21:13
$begingroup$
For any readers: Reference this answer to see that $mathbb Ebigl(mathbb E(X|Y)bigr)=mathbb E(X)$.
$endgroup$
– Chase Ryan Taylor
Mar 27 at 21:13
add a comment |
$begingroup$
$E[X] = 2$.
Since $E[ X|Y] = Y^3$, then $E[Y^3] = E[ E[X|Y]] = E[X] = 2$.
answered Mar 27 at 20:34
dnqxtdnqxt
7625
$endgroup$
add a comment |
$begingroup$
$E[X] = 2$.
Since $E[ X|Y] = Y^3$, then $E[Y^3] = E[ E[X|Y]] = E[X] = 2$.
answered Mar 27 at 20:34
dnqxtdnqxt
7625
$endgroup$
add a comment |
$begingroup$
$E[X] = 2$.
Since $E[ X|Y] = Y^3$, then $E[Y^3] = E[ E[X|Y]] = E[X] = 2$.
answered Mar 27 at 20:34
dnqxtdnqxt
7625
$endgroup$
$E[X] = 2$.
Since $E[ X|Y] = Y^3$, then $E[Y^3] = E[ E[X|Y]] = E[X] = 2$.
answered Mar 27 at 20:34
dnqxtdnqxt
7625
answered Mar 27 at 20:34
dnqxtdnqxt
7625
answered Mar 27 at 20:34
dnqxtdnqxt
7625
answered Mar 27 at 20:34
dnqxtdnqxt
7625
7625
add a comment |
add a comment |
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Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial, and equation editing how-to
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– Fareed AF
Mar 27 at 20:26