Dtjytyk

Was the picture area of a CRT a parallelogram (instead of a true rectangle)?

How do I define a right arrow with bar in LaTeX?

Implement the Thanos sorting algorithm

What's a natural way to say that someone works somewhere (for a job)?

Is exact Kanji stroke length important?

What would be the benefits of having both a state and local currencies?

Hide Select Output from T-SQL

Using parameter substitution on a Bash array

Is there any reason not to eat food that's been dropped on the surface of the moon?

How do I rename a LINUX host without needing to reboot for the rename to take effect?

Why are on-board computers allowed to change controls without notifying the pilots?

Is a roofing delivery truck likely to crack my driveway slab?

I'm in charge of equipment buying but no one's ever happy with what I choose. How to fix this?

Lay out the Carpet

Is the destination of a commercial flight important for the pilot?

Mapping a list into a phase plot

Is HostGator storing my password in plaintext?

Teaching indefinite integrals that require special-casing

What defines a dissertation?

Ways to speed up user implemented RK4

Displaying the order of the columns of a table

Can I use my Chinese passport to enter China after I acquired another citizenship?

Will it be accepted, if there is no ''Main Character" stereotype?

Why is delta-v is the most useful quantity for planning space travel?

Expectation of conditional normal random variables

conditional expectations for independent random variablesExpectation of random variablesShow Independence of two random variables $X$ and$Y$Conditional expectation of independent random variablesHow to find the CDF of the sum of independent uniformly distributed random variables?Conditional probability for two normal distributed variables.Conditional Expectation as a random variable of independent rendom variablesConditional Expectation of random sum of independent random variables (when $N$ and $X_i$ are dependent)Conditional Expectation of Random Variables.A specific question in conditional expectation with mixed discrete and continuous random variables

-1

$begingroup$

I need help with a question in probability.
If X,Y are independent N(0,1) random variables. What is E(X-Y| X>Y)

All help would be much helpful.

probability

share|cite|improve this question

asked Mar 15 at 8:27

Two-normTwo-norm

1

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to MSE. Please read this text about how to ask a good question.
  $endgroup$
  – José Carlos Santos
  Mar 15 at 8:31
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  $Z=X-Y$ is itself normal. Can you compute $E(Z|Z>0)$?.
  $endgroup$
  – Kavi Rama Murthy
  Mar 15 at 8:43
  
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I tried to preform that transformation using the transformation theorem setting X=U Z=X-Y. However, I got stuck when trying to get the marginal distribution of Z.
  $endgroup$
  – Two-norm
  Mar 15 at 9:29
  
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Please include your work, whatever you have done, in the post itself. The fact that $X-Y$ is again normal follows from a general result.
  $endgroup$
  – StubbornAtom
  Mar 15 at 10:23
  

  
  
  
  

add a comment | 

-1

$begingroup$

I need help with a question in probability.
If X,Y are independent N(0,1) random variables. What is E(X-Y| X>Y)

All help would be much helpful.

probability

share|cite|improve this question

asked Mar 15 at 8:27

Two-normTwo-norm

1

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to MSE. Please read this text about how to ask a good question.
  $endgroup$
  – José Carlos Santos
  Mar 15 at 8:31
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  $Z=X-Y$ is itself normal. Can you compute $E(Z|Z>0)$?.
  $endgroup$
  – Kavi Rama Murthy
  Mar 15 at 8:43
  
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I tried to preform that transformation using the transformation theorem setting X=U Z=X-Y. However, I got stuck when trying to get the marginal distribution of Z.
  $endgroup$
  – Two-norm
  Mar 15 at 9:29
  
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Please include your work, whatever you have done, in the post itself. The fact that $X-Y$ is again normal follows from a general result.
  $endgroup$
  – StubbornAtom
  Mar 15 at 10:23
  

  
  
  
  

add a comment | 

$begingroup$

I need help with a question in probability.
If X,Y are independent N(0,1) random variables. What is E(X-Y| X>Y)

All help would be much helpful.

probability

share|cite|improve this question

asked Mar 15 at 8:27

Two-normTwo-norm

1

$endgroup$

share|cite|improve this question

asked Mar 15 at 8:27

Two-normTwo-norm

1

share|cite|improve this question

asked Mar 15 at 8:27

Two-normTwo-norm

1

asked Mar 15 at 8:27

Two-normTwo-norm

1

asked Mar 15 at 8:27

Two-normTwo-norm

1