Hey it ain't me who confuses the mean value of a random process with the probability of individual outcomes not equal to the mean manifesting.
""If you were not a math idiot you would understand they are telling you with infinite tries the mean is zero EVERY TIME""
Now this is funny.. Especially couched in an insult about math ability.
The mean value of a coin toss is exactly zero. But the outcome of any individual toss cannot be the mean.
It's like this dirt slinger is claiming the value of a random variable is EVERY TIME equal to the mean value.
Do ya know the difference between in the mean and happens every time as you said??
It is equal in the mean of an infinite number of experiments where an infinite number of coins are tossed. It's called the expected value. However the expected value can also be rare or impossible.
The expected value of a single dice toss is 3.5 for instance. The expected value of a coin toss is zero.
""The root mean square distance from the origin after a random walk of n unit steps is √n""
This means that the average distance from the origin is sqrt(n) so taken to infinity the average distance would be infinite.
Gawd this is a lotta fun...
SO IT IS NOT WHAT YOU SAID..
the esteemed engunear says this.
""if you flip a fair coin an infinite number of times the number of heads and tails will be EXACTLY equal""
It is equal only in the mean of an infinite number of such experiments. For any particular run to have an exact match of heads and tails is very rare. Going to infinity makes this probability zero.
From University of Virginia.
"Since forward and backward steps are equally likely at all times, the expected average finishing position must be back at the origin. The interesting question is how far away from the origin, on average, we can expect to land, regardless of direction. To get rid of the direction, we compute the expected value of the square of the landing distance from the origin, the “mean square” distance, then take its square root. This is called the “root mean square” or rms distance"
"The root mean square distance from the origin after a random walk of n unit steps is √n"
Now how do you hawcreek get out of this one. Take your time and conjure up some bull S to throw at the board.
What so the engunear can regurgitate memorized poorly understood math shortcuts he doesn't really understand.
Case in point right here. There is obviously a way to improve the data with the given information but you being a thick headed engunear have no clue how to do it.
"" there is no guarantee of increased accuracy with any adjustment, in fact the opposite may be true""
Are you aware how meaningless and trivial this statement is??
I will explain it to you. You won't understand.
Each flip is a random variable. The mean value of each flip is zero.
But the variance of each flip is 1.
The sum a group of such variables has a mean value of zero and a variance equal to the sum of the variance from each flip.
So for N tosses the variance of the sum will be N.
So the sum has a zero mean and a significant variance.
What makes you think that on any one run, especially one to infinity, the sum will be a particular number when the variance of this number grows with each added flip.
Do search " Random walk MIT " And click result
"Random walks -1 MIT"
Be sure to read the second page about why it is important.
And you are welcome for a good faith effort to teach you something.
""If you assign +1s and -1s and flip a fair coin an infinite number of times the sum of the numbers will be exactly zero.""
No actually you fail again. This statement is completely incorrect.
The question may be basic but I know you have wrong concepts in your engunear brain about it that is why I posted it.
So you fail again......
Suppose a sensor measuring a process was polled frequently as the process went through a single cycle. Those measurements were recorded by a computer for future analysis.
But suppose Leslie the cleanliness engineer checked the sensor and found it to be reading 5% low across its range.
What is the formula for incorporating Leslies findings of error in order to improve the accuracy of the measurements made by the automatic system originally.
Yn = f(Yo,????)
Yn = improved measurement.
A fair coin is flipped 5000 times with the results recorded as heads +1 and tails -1.
The results of the flips are summed three different ways.
A the first 200 flip results are summed.
B the first 250 flip results are summed.
C the first 400 flip results are summed.
What is the probability that sum A is greater than sum B.
What is the probability that sum A is less than sum B.
What is the probability that sum C is greater than sum B.
You can use last weeks results ( not anything the esteemed board scientist posted ) to find the answers.
the trouble is that it is hard to resolve the disparity between your self professed greatness and your absolute waste of your time on this message board. Very simply a capable person would not be here posting as regularly as you do.
its just there to make you goof up.
IF you went to college you had test problems laced with unnecessary information.
Do tell, how many times did you call your professors those same things.
If you could read and understand English it would help. There was no wording suggesting using the average for the probability. It said the numbers themselves are summed.
Doesn't it kinda sck when someone uses one of your tactics against you.