Wasn't sure which forum to put this in, I've done the probability part - it's just that my answer is a few lines away from the sample solution I've been given, and I don't understand what they've done.
My answer is
The next line of working for the sample solution is
I see that the sqrt(pi) and the gamma(1/2) cancel, other than that I'm stuck!
Any help would be much appreciated. not sure if it's needed or not, but k = n/2 where n is an positive even integer