the problem ask

let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed "n" times. What are the possible values of X?

i know this is probably a discrete random variable because u cant have non integers numbers for tosses and a difference.

this is how i think its done but its probably wrong cause it leads nowhere

X= H-T

X= n, n-1, n-2...-n infinity because the max value of X can only be N (assuming n heads and 0 tails) and the lowest it can be is is -n (0 heads and n tails)

please help