You really don't understand averages. It really isn't possible that you attended any college at all with that kinda ignorance.
Here's a hint. The average is THE SUM divided by the number of things averaged. It is not THE average.
I really don't think you are that stupid. You just have a problem with being wrong. I am here to help you with that.
It never was about the average, you knew that all along. No the sum does not become the average. Where do you get this nonsense.
So as you can see wottow thinks you are wrong as well. Could this be a milestone?? You may have to admit you were wrong..
And you have lost. If you trouble yourself to go look search "infinite number of tosses of a fair coin"
You will see there that the posters have stated the probability of the sum equaling zero at infinity is zero. By the way for people other than hawcreek math stackexchange is pretty neat site.
Another comment supporting me.
""Where do the statistics say that? The law of large numbers says that the proportion of heads and the proportion of tails will both converge on one half in this example, but that is not the same as saying the numbers of each will be equal.""
How many will it require before you understand you are wrong. Yeah I know another infinity in the mix.
On average the sum will be zero for a toss of 20 flips. Does this mean that the probability of a 20 flip run being zero is certainty??
You must be incapable of shame. But thanks for the entertainment.
Infinity is not a place you can be at and stop. It is a direction. Anybody who knows calculus knows that you don't find any spot called infinity and just stop.
One person answered in my favor, get ready for many others.
""the probability that the number of heads equals the number of tails (after an even number of tosses) tends towards zero as the number of tosses increases without limit""
I posted this question on math stackexchange.
""So carried to infinity does the fact of equal probabilities for head and tails make the particular random walk from these tosses go to zero. In other words will the walk tend to zero distance at infinity because the flips obey the probabilities of the fair coin.""
So hawstupid is this the way you think about it??
Creek piszed down his leg again. Obviously he never took calculus in civul engunear skool. Or else they dumb it down for engunears.
The value of a function or process at infinite tries is the evaluation of a limit to infinity. For a limit to infinity to exist the output value must get ever closer to the limiting value as the domain value increases indefinitely.
His hypothesis that a coin toss summed up and carried to infinity must always equal zero violates the common understanding of a limit to infinity. There is no such thing as 'infinity' by itself if one cannot understand that some quantity is approaching a constant as you go that way.
The RMS distance from zero for the coin toss sum grows as the square root of the number of throws. Carried to infinity the RMS distance is infinity and the probability of the sum being zero at any particular stopping point goes to zero. Exactly the opposite of his idea.
He is confused about the difference between the outcome of a single experiment carried on to infinity and the average value of the experiment when each end result is averaged an infinite number of times.
But he is a scientist... LOL !!!!!
On average the sum will be zero but any particular run even to infinity will NOT. What ya got next.. Enjoying this immensely.
""Why bother mentioning infinity""
Because you made the moronic mistake of claiming that the coin toss carried to infinity would with certainty sum to zero.
Why you said such a stupid thing I don't know but it is sure fun to push it up in front for all and you to see.
Yes if you notice for the definition of taking a limit to infinity the fact is that one more step breaks the convergence then the limit does not exist. The same answer came from the math stackexchange post.
Dum Dum dum you are.
Well guess is about all you can do. Yes I am asking to take finite milestones to infinite question, which is not silly it is how limits to infinity are determined.
If a function has a limit at infinity , say L, then that means that as the independent variable grows the function moves ever closer to L. I don't think you took any calculus. But then rock digging doesn't require it.
Try using google to help yourself. Search "limits to infinity" and see if you can understand. Gawd this is such fun, cutting down the board know it all with something he cannot BS about.
a series of zero mean random variables are summed up to time T.
Obviously the expected value of the sum is zero. Or put another way the average value of this sum will be zero.
However the expected value of the sum squared is not zero for any time t greater than zero.
In fact the expected value for the sum squared grows with t proportional to the square root of t.
Taken to infinity is there a point where the expected value of the sum squared trends back to zero.
Or equivalently is there some point where any particular run of the sum would grow as t increases
and then begin to decline toward zero with increasing t. If so where does this transition from rising
to falling happen.
The simplest differential equation known to man has the form
Dee Y over Dee x equals minus alpha times x. An example from this class is given by.
If Y equals 81.6 at x equals 20 and Y equals 132.3 at x equals 40
what is the limiting value of Y.
Worth fighting Russia over..
Wow your gun and oil friends must really be itching for some new cash. Undertakers as well.
But.. didn't you say previously there had not been any warming in the last decade...
Did you not say that proved the models wrong?
Yes you did say those things.. But I guess you forgot..