Recent content by circa415

thanks for the tip I'm modeling arrival times for a poisson process. Ex: the time it takes for an insurance company to receive n claims. For instance, what is the probability that One insurance company receives n claims before another insurance company receives n claims

I'm not sure how to get started with this: Suppose you have two independent poisson processes, X ~ Po(Lambda1) Y ~Po (Lambda2). How would you figure out the probability of one coming before the other? Thanks

If X ~ U(a, b) then f(x) = 1/(b-a) but what if b-a is less than 1 for instance if X ~ (.5,1) then f(x) = 2? I'm a bit confused. Any help would be appreciated.

What exactly is the relationship between the trace/determinant of two matrices with regards to similarity. I always thought that if the trace was the same, then there is a possibility that the matrices are similar and if the determinant was the same, then the matrices are similar. On a recent...

I used 1/b-a * \int_{x}^{1} cos(t^2)dt and I tried to evaluate the integral

I just get 1/1 * (sin 1 - sin(x^2)) but that seems too simple? am I doing something wrong?

If the perimeter of a rectangle increases, does the area necessarily increase? Can anyone explain this using calculus?

Find the average value of \int_{x}^{1} cos(t^2)dt on [0,1] I have no idea where to even begin..

Given x(0)=-2, y(0)=1, x'(t)=2x(t), y'(t)=-2y(t), solve for x(t) and y(t) I plugged this into mathematica and got -2e^(2t)=x(t) and e^(-2t) = y(t) I notice that x'(t) = 2x(t) means that x(t) has to be e^t and there must be a coefficient (2) in front of the t because the only derivative...

Can anyone give me a proof or some kind of general explanation about why there is a local max at (a,b) if D>0 and fxx<0, a min if D>0 and fxx>0, etc. My textbook doesn't give any kind of explanation at all and I'm just a little curious as to why it works.

This is what I did, I got -2λ/(a^2) = bc, -3λ/(b^2) = ac, -4λ/(c^2)=ab. Mutiply each by a, b, and c respectively and so: -2/a = -3/b = -4/c (take out negative and plug into constraint)

yeah that's what I meant lol my mistake

ah, I see thank you

ok, after thinking about this some more... x/a+y/b+z/c=1 will give me a plane where the x, y, z intercepts will be a, b, and c respectively. Therefore if the point passes through 2, 3, 4, then the constraint will have to be 2/a+3/b+4/c = 1 and then V will just be (1/2)abc and then just...

could you give me a further explanation as to why the maximal error is .05?