It's a great shame that the work of members on this forum is being abused in this way.
Bob
]]>"Contest Brief
Please find the problem attached to the file below."
But I cannot find any such attachment.
Bob
]]>Assuming the plus and minus figures are equally likely:
the expected result for A is - (0.25 x 0.1 + 0.25 x 0.2 + 0.25 x 0.4 + 0.25 x 0.4) In your post you have 0.4 twice. If that is a typo then just substitute the correct value instead. = - 0.25 x (0.1+0.2+0.4+0.4) = 0.25 x 1.1 = - 0.275
And for B = + 0.2 x 1 + 0.2 x 1.3 + 0.2 x 1.4 + 0.2 x 0.7 + 0.2 x 0.5 = 0.2 x (1+1.3+1.4+0.7+0.5) = 0.2 x 4.9 = + 0.98
So for A = Y + 1.5 - 0.275 = Y + 1.225
and for B = Y - 0.5 + 1.225 = Y + 0.725
Neither has an expected result within the limits. Am I misunderstanding something here?
Bob
formula for an expected result is
where the Ps are the probabilities and the Ws are the 'weights' for each possibility.
]]>Thank you for the welcome.
https://imgur.com/FVn5gqJ
This is Fig I hope this helps.
The loss between XY is insignificant
Yes let assume length of X=150 and Y=0 and the signal will be sent either to A (150) or B (-50) and at point Y we have to choose if the signal will be sent to A or B now in process to reach the correct signal we can change our direction but the maximum Loss/error in transmission can be -50
Rest all you are correct Bob
Thank you.
]]>Welcome to the forum.
I'm not sure I can help as I'm a bit confused about the problem. (no diagram seen)
Here's what I think you're asking:
There's a line connection between point X and point Y. Then the signal can either be sent to A, or to B. Either is acceptable if the signal stays within 0.5 of the original from X ( not higher nor lower than this limit)
There's no loss between X and Y (or it's irrelevant since we have to use this connection).
If A is chosen the signal will go up to value at Y + 1.5
If B is chosen the signal will drop to value at Y - 0.5
In addition transmission along YA and YB are subject to fluctuations as follows A route: minus 0.1,0.2,0.4,0.4 B route: plus 1,1.3,1.4,0.7,0.5
Is this correct so far?
Are these fluctuations the only ones possible? And is each equally likely?
Bob
]]>I am not sure how to title this problem (If anyone can help with title)
Here it is
The signal came down from X to Y (Fig 1) If the signal came up it will be vice versa Y to X so we keep XY as an example.
We now are at point Y now there are two outcomes it will reach point A or Point B
A=Y+1.5
B=Y-0.5
Between the A( y+1.5)and B( y-0.5), the signal can fluctuate
E.g. It can go to Y+ 1,1.3,1.4,0.7,0.5 etc and then go for to Y-0.5
Or
It can go to Y- 0.1,0.2,0.4,0.4 and then go to Y+1.5
It can fluctuate in between y+1.5 and Y-0.5 in a randomly till it reaches A or B.
Our goal is to follow signal A or B with minimum error keeping it mind the fluctuation which can occur between -0.5 and 1.5 in any combination it is random.point Y we have to choose correct point A or B but at point Y we don't know which one will it be so we need to pick the right point A or B and we can afford an error of 0.5 in the process
An error of 0.5 is acceptable if we can have lower than that will be ideal
Or
The simplest and best possible formula to follow the signal with minimum error
Thank you for your time.
Best,
Harry