kippers
Oct17-04, 10:28 AM
I hope someone can help me understand functions of random variables:
If X~Uniform(A,B), A < X < B
Y~Normal(0,1), -inf < Y < inf
and Z = X + Y
- what is the pdf of Z?
- how can I calculate a probability like P(Z < 3)?
- what is the conditional probability P(Z<z | X = x)?
- what is the conditional pdf of Z given X = x?
Any hint will be appreciated. Thank you.
If X~Uniform(A,B), A < X < B
Y~Normal(0,1), -inf < Y < inf
and Z = X + Y
- what is the pdf of Z?
- how can I calculate a probability like P(Z < 3)?
- what is the conditional probability P(Z<z | X = x)?
- what is the conditional pdf of Z given X = x?
Any hint will be appreciated. Thank you.