I toss a coin for N=30 times in a row and i repeat this experiment 100 times. I obtain this graph:
If i repeat this experiment the same 100 times, but with N=40, what i expect is that this diagram will be more tighter. Am i correct ?
Furthermore do you know a procedure to get a Probability Density Function from a graph like this ?
You'd expect your number of heads to be higher if the tossed the coin more times, so if you just add the extra 10 onto the end of the $x$-axis, your curve will shift across to around $20$. In addition, it's also likely that your curve's height will increase, and indeed, it should widen throughout as you'll be getting the higher scores more.