Recent content by Longines

  1. L

    MHB Trouble understanding PMF tables

    Hello all, I'm back with another basic probability question: I know that it involves Bayes theorem somewhere, but I don't understand this question at all! Note: This isn't an assignment question or anything like that, it's just a textbook question that I need help with. Thank you
  2. L

    MHB How Do Probability Formulas for Bayes Theorem and Exponential Distribution Work?

    Lol... once again, a simple step that I did not see. Thank you
  3. L

    MHB How Do Probability Formulas for Bayes Theorem and Exponential Distribution Work?

    Hey guys, I don't understand how this question works... I don't understand the answers either. Could someone take me through this step-by-step? See attached image:
  4. L

    MHB Bivariate distribution question

    Hello all, How would I do this question by hand? I know I integrate from -infinity to +infinity for $f_x,y$, but I have no idea how to do it by hand! My algebra soup is bad, can someone please help me? P.S I heard some of my friends talking about some 'trick' you can do with the exponential...
  5. L

    MHB Conditional exponential probability

    I figured it had something to do with this, but I don't understand how I express it with lambda and such. Could you please elaborate?
  6. L

    MHB Conditional exponential probability

    Hello all, I've been stuck on this question for a while and it's annoying the stew out of me! I know it's a basic definition type of question, but I can't seem to understand it. Can any of you help? Question: Let X be a random variable and A be an event such that, conditional on A, X is...
  7. L

    MHB Square Matrix Proof: Diagonal Entries & Properties

    Yeah, that's right. That is the Reduced Row Echelon Form (RREF) for that matrix. Now in regards to Mx=0. You have to realize that we're dealing with a homogenous equation. Geometrically, this means the lines, planes or hyperplanes represented by the equations in a homogeneous system all pass...
  8. L

    MHB Square Matrix Proof: Diagonal Entries & Properties

    In extension to what has been said, it can also be shown that $a_{ii} = 0$ with the following: If you have $a_{ii} = -a_{ii}$ for every $i$, you can simply add $a_{ii}$ to the LHS of the equation, meaning you have: $2a_{ii} = 0$. Solve for $a_{ii}$ and voila, you have shown that the diagonals...
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