How can you be so certain in the first case (against normal opponent) it's ambivalence that is optimal? What if the graph looked like the following:



The red line represents how much I would have to pay out on average if he bets on red and the blue line represents how much if he bets on blue.

The point of the two lines crossing isn't optimal. There's a point lower down on the graph where the payout is even lower.

It's for this reason that I thought of the first case as trying him picking the line that had the highest profit, so i had find lowest point the curve below.



So from my understanding, both cases are about minimizing losses by finding the lowest point of a curve.

Then again, given the constraints of the problem it may not be possible to have a graph with so many curves in it to make the graph this shape. But in any case I also wanted to know what's the best way to calculate that the best odds to lay against the time traveller are (1.5 , 3.0) to 1? I did end up using the quadratic formula to calculate this but I'm wondering if there's a more efficient way.

If you're laying exact odds, then ambivalence is automatic because you are looking for his EV for both options to be 0.

This.

I haven't checked carefully, but it seems like you would just have to do the calculation directly.

NEED THIS FOR TONIGHT! PLEASE PLEASE HELP! BEEN HAVING AN ARGUMENT ABOUT IT WITH MY FRIEND FOR AN HOUR...

What is the domain for f(x) = [[2x]]

*so this is the floor function but the x values are doubled?

Thanks in advanced!

What's the definition of domain?

Domain of a function. ... In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined. That is, the function provides an "output" or value for each member of the domain.

That's a good Wikipedia definition. Can you give me a domain of
F(x)=2x
?

All real numbers

Cool, why?

Cool story bro.

Someone else who is willing to just write the answer?

I am very busy for the rest of the night. Not only do I have to help my friend with homework, but I actually have to work all night long. So i don't have time to go back-and-forth here in 2+2.

SOMEONE WHO CAN SPIT OUT THE ANSWER AND PERHAPS A BRIEF EXPLANATION? THANKS

Lol, we're not Google. If you want to learn it, then learn it.

Don't get all butt hurt at someone trying to help you when you're waiting until the last minute trying to finish an assignment.

Lol he's trying to guide you there quit being a *****

Out of curiosity, what do you think the answer is, and what does your friend think the answer is? I can't imagine an hour long argument taking place between two people about this question where both sides are making valid points. It would be like two people arguing about whether 2 was a prime number or not, with one side arguing "But 2 is EVEN!!! HOW CAN IT BE PRIME!!!!"

Yeah seriously GTFO. He's trying to help you.

But since you asked and you don't GAF about learning, if you want me to write up answers for you I'll be happy to, but you have to pay me. $100/hr, charged to the :15, 5 hr minimum per month, pmt one month in advance.

I'll do $100/h no minimum, charged to the minute and 24h turn around.

Damn you!

this is weird. why would the domain of the floor function be anything other than all reals? it may not be differentiable, but it is certainly defined for every real value of x. the range is slightly more interesting since it would appear to be all even integer values of Y (2x makes it skip all the odd ones).

not sure how else to explain it other than "it's defined for every real value of x"?

and how could you get to the step of "the domain of 2x is all reals" and then flip out. the next sentence should be "so is the domain for the floor function"

Don't tap the glass, ppl are trying to make some money here.

lol

There's no money here. Too many bots.

https://www.wolframalpha.com/input/?...n+of+floor(2x))

For an extra $20, I can throw in some imaginary numbers.

I might start a crowdfunding campaign to find out what [[2 + 3i]] is.

Try what is i^i . who will answer this first here we go....

By the way in order to secure 5-10 K income in tutoring monthly you better not be so hardcore nasty to clients/students and treat them more kindly (even if they behave bad, then attitude adjust them with enslaving kindness lol) and offering incentives to like you over the competition such as $65 per hour or down to 50$/h if you get 2h+, plus access to email for questions outside meetings if something happens between meetings. Then your business skyrockets in activity and then you can raise prices from a position of total control after cornering the market! But you wont do that beyond what is ethical and fair which has to reflect your own improvement as presenter of knowledge and not your greed!

Statistics problem that I cant figure out, should not be too tough for you guys...

X and Y are random variables. They are independent and their distribution is equal.

EV(X)=1
Var(X)=2
EV(Y)=1
Var(Y)=2

Z = X*Y

What is the variance of Z?

What formula do I use?

Thanks in advance.

TY