1. ## Simple random walk...

I have the following question and my answers (in red) which I think are correct [of course, correct me if they aren't]. However, I have an issue with the last part as I can't seem to separate the last bit into the two functions. Mainly as I don't know how to separate (x+y)! I believe the 'comment' that they are looking for is that it shows the two events are independent, right?

2. Originally Posted by ZTM1989
I have the following question and my answers (in red) which I think are correct [of course, correct me if they aren't]. However, I have an issue with the last part as I can't seem to separate the last bit into the two functions. Mainly as I don't know how to separate (x+y)! I believe the 'comment' that they are looking for is that it shows the two events are independent, right?

The number of up transitions is independent of the number of down transitions.

The mean number of up transitions is 2.5*0.6, and of down transitions is 2.5*0.4 and both have a Poisson distribution.

CB

3. Ok, but I'm meant to seperate the equation I have arrived at in the last part, no?