If I have a model with a categorical variable X1=0,1,2,3 and a continuous variable X2 and I have a regression model that includes an interaction between X1 and X2, then I decide I want to collapse X1 into an indicator variable where X1_new=0 if X=0 and X1_new=1 if X>=1, is my new model with an...
I want to add to this post. Sorry for the double posting. I know this solution I posted above can't be right. I tried switching the order of integration from dydx to dxdy and I get 1/3. One of my classmates suggested doing a bivariate transformation, which I haven't tried but I am a little...
Homework Statement
Suppose that the joint pdf of X and Y is
f(x,y)= (8/3)xy , 0<x<1,0<y<2, x<y<2x
Compute P(Y<\sqrt{X})
Homework EquationsThe Attempt at a Solution
\int_0^1 \int_x^{\sqrt{x}} (8/3)xy dy dx = (4/3) \int_0^1 x - x^2 dx = 2/9
Is there a good example of a probability distribution where the support set does not depend on the parameters and is still not a member of the exponential family?
thank you!
OK, thanks for that. OK, just to be clear, can you tell me if this looks right?
[ itex ]E[X|Y=5] = \int_{0}^{10} x E[X|Y=5] dx \int_{0}^{1} x * 1/5 dx = \left[ \frac{10}{2}x^2 \right]_{0}^{10} = 10[ /itex ]
Not sure why I can't get this latex to work but I am getting 10 for...
Homework Statement
A machine consists of 2 components whose lifetimes are X and Y and have joint pdf,
f(x,y)=1/50 w/ 0<x<10, 0<y<10,0<x+y<10
Calculate the expected value of X given Y=5.
Homework Equations
E[X|Y]= \int_{-inf}^{inf} x f(x,y)/f(y) dx
The Attempt at a Solution...
Homework Statement
Euromillions is a transnational lottery. A player selects 5 "main" numbers without replacement, ignoring order from 1 to 50. The player then selects 2 "lucky star" numbers without replacement and ignoring order from 1 to 11. Ultimately, 5 numbers are randomly selected...
Homework Statement
A and B agree to meet at a certain place between 1 PM and 2 PM. Suppose they arrive at the meeting place independently and randomly during the hour. find the distribution of the length of time that A waits for B. (If B arrives before A, define A's waiting time as...
Ok guys, maybe you are right. I can see it now. If you were a professor, would you yield? I definitely see an ambiguity here. I just feel like it could have been much clearer as with these questions the wording needs to be pretty clear on what they want. In direct response to Zafa Pi, I...
Ok, This is not a homework or textbook problem; this is a question from an exam I recently took that I would like opinion on the wording of the problem.
Question: A fair coin is flipped until a head is observed and then a fair die is rolled until a 6 appears. Each flip and each roll is...
Chiro, thanks for the input.
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