Recent content by simba_

Thank you for your help

Thanks for your reply, that makes sense. So the transition matrix is an upper triangular matrix to the power of n-1 with the diagonal entries 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 respectively?

I was saying the same thing you were. 0,866 is the answer... enjoy the game!

you have 3 cards so there are 49 still in the deck and 9 of them are a spade higher than a 5. you want to find the probability that an opponent has at least one spade higher than a 9 which is the same as 1 - the probability that none of the opponents 9 cards are spade higher than a 5...

Question : Let Xn be the maximum score obtained after n throws of a fair dice a) Prove that Xn is a markov chain and write down the transition matrix Im having a problem starting the transition matrix im assuming the states are meant to be the sum. then do you write out the transition...

Homework Statement the full question is asking me to solve dy/dx + (1/x)y = 3cos2x i think i know what i am doing up to a point, but for me to continue with the question i have to integrate exp(x^-1)3cos2x and I am not sure how to do this, once i get this part i would know how to...

ahhh thanks... my brain is still moving a bit slow from last night

i got the first one... thanks. for the second one i have to find a way to integrate 1/(y2-4y) dy I am lost as to how i do this, I am assuming its but integration by parts but i cannot get an answer using this method

Homework Statement I am stuck on these two questions. The first one I can start off and finish but i cannot do the middle part and in the second question I have no idea how to start it off. Find the general solution of the following separable equations; then use the solution which obeys...

Would just like a hand with this question If X and Y are independent standard Gaussian random variables (that is, independent N(0, 1) 's ) do the following: (a) Write down the joint probability density function fXX,Y (x, y) of X and Y . I know what the gaussian density function looks...

tyty

Homework Statement Find the critical points of x3 + y3 + 3x2 + 6y2 - 9x + 9y +1 you do not need to define the critical points Homework Equations The Attempt at a Solution i have df/dx = 3x2 + 6x - 9 and when i solve this x = -3, 1 but i don't know what the corresponding...

SS xy dxdy 1/2x2y (sub in 3-y, 0) = y(9 - 6y + y2)1/2 = (9y - 6y2 + y3)1/2S 1/2(9y - 6y*y + y*y*y)dy = 1/2((9/2)y*y - 2y*y*y + (1/4)y*y*y*y) sub in (3, 0) = 27/8 ? thats how i got it... I am very tired so prone to small mistakes atm, but i cannot find any here. is there something wrong...

so i put (0,3) on the outer integral and i got 27/8 as my answer then...

right i see now... thanks