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Hi people can anyone help me in this question:
Gonzo plays a series of independent games. At the start of each game he pays £1 then rolls a fair 6-sided die. If he obtains a 6 he receives £C; otherwise he receives nothing. The game continue until he throws a 1, when the series of games stop. Find the expected amount he wins and hence state the value of C for which the game is fair (the expected amount he wins is zero).
I'm thinking it has something to do with the Gamblers Ruin problem if you're familiar with it.
Thanks in advance
Thanks appreciate it!
I have this question that's causing some confusion:
Let A and B be square matrices of the same size. Show that
(A+B)(A-B)=A²-B²
if and only if A and B commute.
I have this question that I need help on:
Let X and Y be independent random variables each with Poisson distribution, with parameters (lamda) and (mue) respectively. Show that Z=X + Y has Poisson distribution and state its parameter. If X1, X2,...,Xn are independent identically distributed random variables, with common distribution which is Poisson with parameter (lamda), find the probability generating function of W= ∑ Xj and hence state the distribution of W.
To prove that you have to use the formula:
sin(A±B)=sinAcosB ± cosAsinB
then you make A=B=x
Oh yea the constant! Partial fractions? Well, yea, but depends on the question...
Oh i see thanks!
The answer is: x-ln(1+x)
Am i right?
I can't believe I forgot this, but could someone explain to me how to solve the following integration:
∫x/(1+x) dx
Wouldn't the elements be:
(123) (123) (123)
(123) (132) (213)
(123) (123) (123)
(231) (312) (321)
Cool thanks! I have a similar answer using wikipedia
http://en.wikipedia.org/wiki/Boolean_ring
I have this question that I need help in
Let R be a ring in which a^2 = a for all a ∈ R. By considering (a+b)^2,
show
(a) R is commutative;
(b) a+a = 0 for all a ∈ R.
Thanks in advance!
∈ - element of
Appreciate that thanks!
I have this question that I'm slightly stuck on:
Let R be a ring with identity. We say that two elements a and b of R are associates,
written a ~ b, if b = au for some unit u of R.
In the case that R = Z12, calculate the equivalence classes of ~
How do I go about answering this?
Thanks in advance
Yes, but I'm not sure about the coefficients of cos and sin...I have to double check
Brilliant website JaneFairfax and Stanley_Marsh I got something similar, but not exact
The question I'm having a problem with is:
16y'' + 8y' + 5y - 10x = 0, y(0)=-2, y'(0)=-1
I got half of it done, but I'm not sure whether I'm doing it right...can someone help me?
I agree with you as well but the question seems to be what i have typed out
I'm not sure if that applies to this question
I have another similar question this time, but it's proving too be a little bit more difficult:
y' + tan(x)y + x = 0, y(0)=2
Cheers!
how is it 16 since there is no 9. 7 ate it. Is the answer no solution?
Didn't you ask the question in the first place?
If you don't mind checking my answer:
arctanh(y) = ln (x+1)
I have this particular question which i'm having trouble with... could someone help me?
"Solve the following initial value problem
(1+x)y' + y^2 - 1 = 0, y(0)=0"
Thanks in advance!
There is no solution in Z19, Z17 has two solutions of 6 and 11.
Yea Ricky was right!
Yea cheers make sense!