I fixed the problem. The previous attempt assumed that the given data formed a "probability distribution", but it DOES NOT. (That is why the variance led to false result.)
Please check.
ctperng
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Type: Posts; User: ctperng; Keyword(s):
I fixed the problem. The previous attempt assumed that the given data formed a "probability distribution", but it DOES NOT. (That is why the variance led to false result.)
Please check.
ctperng
Try this:
E(X)=15*0.05+(15+20v)*0.95*0.1+(15+20v+25v^2)*0.95 *0.9
E(X^2)=15^2*0.05+(15+20v)^2*0.95*0.1+(15+20v+25v^2 )^2*0.95*0.9
ctperng
According to the question, at least two cars are heart, so you should divide by the probability of getting (exactly two hearts and exactly three hearts).
ctperng
One way to do this is to use the Fourier transform and inverse Fourier transform, using the fact that F(f*g) = F(f)F(g), where F is Fourier transform, and * is the convolution. This seems tedious,...
There is certainly no loss to trust you, but there is reason of his/her confusion: Exam C is now offered 3 times a year, if I read it correctly.
http://beanactuary.org/exams/cbt.cfm#dates
jk2ff:...
The deposit of money between t and t+dt is (8k+tk)dt = (8+t)kdt.
What would be the maturity value of this at then end of 10 years?
Answer: (8+t)kdt*e^{integral from t to 10 of delta(t)}, ...
You are absolutely right. The problem is how to interpret
"I get 12 calls per week evenly distributed."
If you fix the number of calls per week, and interpret even distributed as each call has...
Thank you!
Interesting. Could you explain to me what you did in your simulation? (PM is fine.)
To compute the probability of multinomial distribution, you could use exclusion-inclusion:
The probability...
I believe in your calculation of P'(i)/P(i), you are thinking of i as effective interest rate. So when you want to multiply interest rate change with the duration, you should compute the difference...
I like this: "I have gone back to first principles to find modified duration by finding P'(i)/P(i). "
According to my computation, this is about -3.61, and it contributes to the percentage price...
As the previous post mentioned, your formula doesn't seem to be right: your sum will be greater than 1.
Your question actually has been discussed in this forum:
See my posts
...
Hi,
You just need to solve the following equation for δ (which is a constant now):
100e^(10δ) + 100e^(5δ) = 316.45.
(Hint: letting x = e^(5δ), the equation is 100x^2 + 100x =316.45; once...
Thanks, nomoreexams.
I was wondering if Jensen's inequality and Cauchy-Schwarz's inequality (for real variables, of course) are equivalent for the special case f(x) = x^2. A moment's reflection...
Jensen’s inequality? (Well, I am not sure how one solves this by it.)
But this can be easily solved by Cauchy-Schwarz's inequality:
(x^2 + 4y^2 + 9z^2)(1^2+(1/2)^2+(1/3)^2) >= (x + y + z)^2,...
For example, (number of choices of colors to apply on the 8 and 12 objects) = (12C4*8C4),
(number of ways to arrange objects for the colors) = (number of ways to arrange 8 objects on * * * *,...
These are some hints:
Thinking of it as a coloring problem: 12 colors applying on 20 objects; the total number of ways is 12^20.
Now for the desired outcomes, you need to pick 4 colors to apply...
If you make the following assumptions, then the numbers would match:
(1) each set calls exactly one repairer.
(2) each set calls the repairer ramdonly, and independently
When translated into...
= 0.022523*SQRT((H1-145)^2) -0.01752*SQRT((H1-700)^2) -0.0045*SQRT((H1-1000)^2) +0.003008*SQRT((H1-2000)^2) -0.00201*SQRT((H1-5000)^2) +0.0015*SQRT((H1-10000)^2) -0.0006*SQRT((H1-25000)^2)...
Not a problem. You can add the function max(0,x-100000)*0.0028 to f(x), namely attach the following code to the Excel function above
+MAX(0,H1-100000)*0.0028
As for $$ concern, you look for...
You know what a function is, right? You can consult with any person about how to input a function in a calculator which allows you to define your own function.
If your goal is just to compute, you...
The concept you messed up is you are confused with annuity with definition of nominal interest rate.
Hope this clears up your confusion:
(1) (1+i(p)/p)^p = 1+i, this is definition of nominal...
Alright, if you solve the system of equations I mentioned earlier (either by hand or by using a calculator, say TI83 or TI84), you get the following numbers (there may be rounding error for the...
Right, I was being sloppy when I said it. But by approximation, the error is at most 1. :)
ctperng
It is just approximation (very commonly used as linear interpolation). Yes, this would get back to question about what he really wants. No big deal to me, i just want to show that something not too...