Recent content by Dakarai

  1. Dakarai

    Show that the Poisson Mass Function has the same value for λ and λ-1

    I reread this, and so I've attached the homework question (and the mentioned graph) to better help describe what I'm getting at. I'm very lost how to prove this.http://imgur.com/NyuuHmT
  2. Dakarai

    Show that the Poisson Mass Function has the same value for λ and λ-1

    Oh, I see where I'm confused. I'm not looking to solve for x-1, but rather λ-1. x remains x for this equation.
  3. Dakarai

    Show that the Poisson Mass Function has the same value for λ and λ-1

    Thank you for the advice. I'm very confused as to how this would actually show that p(x|λ) = p(x|λ-1).
  4. Dakarai

    Show that the Poisson Mass Function has the same value for λ and λ-1

    Homework Statement Show that, quite generally, the Poisson Mass Function has the same value at λ (i.e. the average) and at (λ-1). Homework Equations The Poisson Mass Function is p(x) = [e^(-λ) * λ^(x)]/(x!) The Attempt at a Solution I started out by plugging in λ-1 into the equation to get...
  5. Dakarai

    Derivative of a Utility Function

    And this is equal to ##-\frac{du}{dq_1}##, correct? That's the answer I was given. And if it is equal, could you explain why it is?
  6. Dakarai

    Derivative of a Utility Function

    This is where I'm confused. I'm not sure how to solve that. I suppose the simple answer would be ##u'(q_1)## which would make the overall solution ##-u'(q_1)##?
  7. Dakarai

    Derivative of a Utility Function

    Okay, I think I'm beginning to understand. I need to take ##\frac{\partial}{\partial q_1} (u(q_1) + q_2)## However, not knowing what ##u(q_1)## is, the solution would be ##\partial u## And this would make the overall ##MRS = -\frac{\frac{\partial U}{\partial q_1}}{\frac{\partial U}{\partial...
  8. Dakarai

    Derivative of a Utility Function

    Sorry I wasn't very clear! (I'm not familiar with using that fancy notation.) MRS stands for Marginal Rate of Substitution, the rate that one consumer is willing to give up in exchange for another while keeping the same utility (U). MRS is the quotient of the two partials as you wrote: $$-...
  9. Dakarai

    Derivative of a Utility Function

    Homework Statement What is the MRS of the quasilinear utility function U(q1, q2) = u(q1) + q2 ? Homework Equations MRS = - dU1/dU2 The Attempt at a Solution [/B]dU2 is 1 but I am unsure how to approach taking the derivative of u(q1). I have tried the answer as -dU and -dU * dq1...
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