Recent content by ryzeg

Yeah, you're right, I did my integrals wrong. By symmetry, it is obvious that it should be 2/3, which is what those add up to. Thanks!

I was using y as the value function, with the bounds ranging over all possible values. When I do integrals with x*1 from 0 to 1, I still get 1/2.

Hello I have been struggling with a simple probability question. Homework Statement We are given that X is a uniformly distributed random variable on [0, 1]. After X is chosen, we take another uniform [0, 1] random variable Y (independent of X) and choose the subinterval that Y falls in. L...

I take that back; the integral is doable with a little manipulation. Damn machines...

I was doing this, but I think it is wrong: f_X(x) = \int^{\lambda=\infty}_{\lambda=0} \frac{\lambda^{x}}{x!} e^{-\lambda} \times \theta e^{-\theta \lambda} d \lambda Plugging this integral into Mathematica gives a really nasty output with a incomplete gamma function, and my TI-89T...

I am a little shaky on my probability, so bear with me if this is a dumb question... Anyway, these two random variables are given: X : Poisson (\lambda) \lambda : Exponential (\theta) And I simply need the marginal distribution of X and the conditional density for \lambda given a value for X...