how a continous can be added/subtracted with/by a discrete!?

hello world! this is my first post to this forum.

please answer to the following seemingly classical probability question, it's urgent for me:

suppose X is a Poisson(1) random variable, and Z is a Standard Normal {N(0,1)} random variable. what is the result of the following probability:

**P(X > (16 - Z^4) / (X + Z^2)) < 3/8**

PS. by the sign ^ i mean power, so e.g. Z^4 is Z to the power of four.

yes meymathis is right...

Quote:

Originally Posted by

**meymathis** Hi,

What do you mean by "what is the result of the following probability"? Are you asking whether the statement is true or false? Or are you being asked to prove it?

oops! yes you're right meymathis! i meant to prove that inequality. so sorry for this mistake...waiting for your replies