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mathmari

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Everything posted by mathmari

  1. There is no a&b.... at the beginning of the gamble our property equals to c... Each time we play the game the result is independent from the previous one....
  2. It is an exercise of probabilities from the university... And how can I calculate the expected value at each step?????
  3. Hey!!! Could you help me at the following exercise.... Consider a gamble,with the same possibility to win or to lose.If we win,we double our property,but if we lose we halve our property.Let's consider that we begin with an amount c.Which will be the mean value of our property,if we play n times(independent repetitions of the game)???
  4. Ok... Thank you very much!!!!
  5. Hi! I hope someone can help me with the following exercise... n>=1, 0=t_{0}<t_{1}<...<t_{n}, a_{1},a_{2},...,a_{n} ε R. Show that the random variable a_{1}*B(t_{1})+...+a_{n}*B(t_{n}) is normally distributed and find its mean value and variance.
  6. To use Newton's method, do i have to write: for i=1:n y(n+1)=y(n)-(g(y(n))/dg(y(n)); where g=y(n+1)-y(n)-h*f(t(n+1),y(n+1)) ???
  7. Hi!!! I need some help... I want to write a code in matlab for the backward euler method. How can I solve the equation to determine y^(n+1)??? Are newton's method, fixed point iteration, fsolve, fzero equal???
  8. Let M(j) be the maximum sum of terms of a consecutive subsequence, which last term is aj. Prove that M(j)=max{M(j-1)+aj, aj}. I hope someone can help me... Thanks in advance!!!
  9. A ok... Thank you very much!!!
  10. Do you mean: P(X>3)=1-P(X<=3)=1-(P(X=1)+P(X=2)+P(X=3)), where P(X=i)={20 choose i}*((0,1)^i)*((0.9)^(20-i)), i=1,2,3 ???
  11. Hey!!! I need some help at the following exercise... We have a box with balls and 10% of them are red. If we choose at random 20 balls with replacement, which is the probability to pick more than 3 red balls??? Thanks in advance!!!
  12. Hi!!! I hope you can help me solve the following exercise... If we know: , are these initial values enough for an initial value problem at with unique solution??? Thanks in advance!!!
  13. Hello!!! Could anyone help me to solve this exercise? Using Stirling's formula show that( see the first attached file stirling1!!!), where S(x)=-xlnx-(1-x)ln(1-x), 0<=x<=1. I used n!=e^(-n)n^(n+1/2)(2π)^(1/2)*(1+O(1/n)) and my result is (see the second attached file stirling2). Is this equal to the result i have to show?? Thank you!!!!
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