Is the Moment Generating Function Solution Correct?

boneill3
Messages
126
Reaction score
0

Homework Statement



Find the mgf of 2/25*(5-y) fo 0<y<5

Homework Equations



M(t) = INT e^yt f(y)dy

The Attempt at a Solution



= (2*(e^(5t)-5t-1))/25t

Is this ok
 
Physics news on Phys.org
I got a different denominator. One of us is wrong, probably me?
 
Sorry my mistake I forgot to square the denomiator Is this better?

= (2*(e^(5t)-5t-1))/(25t)^2
regards
Brendan
 
25 shouldn't be squared.
 
Oops
= (2*(e^(5t)-5t-1))/25t^2
Brendan
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Moment generating functions help
Replies
4
Views
2K
Solve the given problem involving parametric equations
Replies
5
Views
1K
Diff. Eq. — Identifying Particular Solution Given solution family
Replies
4
Views
2K
Method of undetermined coefficients
Replies
14
Views
3K
How to get general solution via Green's function?
Replies
1
Views
1K
Proof given ##x < y < z## and a twice differentiable function
Replies
8
Views
1K
Moment generating function DNE
Replies
10
Views
2K
Determine limits of integration in double integral change of variables
Replies
2
Views
1K
Moment generating function problem
Replies
2
Views
3K
Probability/Moment Generating Function
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top