Homework Statement
A student has learned answers to 40 questions out of 60. A student has to pick 3 questions. What is the probability, that the student will know:
a) all 3 questions
b) exactly 2 questions
c) at least 2 questions
The Attempt at a Solution
a)
So all the...
I was wrong after all.
As lanedance pointed out i get (2n)! \rightarrow (2(n+1))! = (2n+2)! instead of (2n)! \rightarrow (2n+1)!, and this is quite a huge deal.
So in the end i get 1/(2n+2)(2n+1) which is (1/(2n+2))*(1/2n+1) and both of these goes to 0.
So i get 1/2 * e * 0 * 0 = 0...
Thanks for pointing that out, yes i missed that. But the good thing is that it doesn't affect the outcome. It`s still 1/2.
And thanks Billy Bob.
So that means:
\frac{(n+1)^n}{n^n}}=\left(\frac{n+1}{n}\right)^n= \left(1+\frac{1}{n}\right)^n = e
Ahh and then it means that 1/2 * e =...
Thank you for the quick response, i didn't mean to write that the first two things were equal it just happened to be the easiest way to write. :)
One question - why did you write that the general term is (n*n^n)/(2n)!, shouldn't it be (n^n)/(2n)! ?
Well i thought of this way:
We write...
Homework Statement
\infty\sum\frac{n^n}{(2n)!}
n=1
First of all sorry for the bad attempt to replicate the problem digitally, but i hope you get the general idea. :)
I just started learning sequences and i encountered this problem and I am not exactly sure how to solve it.
The...
Hello,
I found one excercise - convert a rational number 63/64(base - 10) to a number system with a base of 4 using Radix conversion.
Searching throught the internet i found this formula (i hope it`s the correct one :) ) -
http://img255.imageshack.us/img255/903/races3.jpg
Unlike...
Homework Statement
http://img139.imageshack.us/img139/999/ksknl6.th.jpg http://g.imageshack.us/thpix.php
Could someone confirm that the a) part is correct, and if it is, then what is the next step? :)
And I am not exactly sure what to do in the b) part.
I would really appreciate if...