lecture4b - Introduction to Computer Programming with...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Introduction to Computer Programming with MATLAB CEE/MAE M20 Lecture 4b and Random Numbers CEE/MAE M20 2 Watch: http://youtu.be/E7DKxe_m1AM http://youtu.be/vuMir11YFPs CEE/MAE M20 3 Also known as Galton Board or Quincunx A device for statistical experiments Invented for demonstrating how the normal distribution approximates the binomial distribution for a large number of events. Figure - Results of three different Galton Board experiments. Notice that all boards have the same number of rows (thus identical board arrangements), but the number of dropped balls in each case is different. Bean Machine CEE/MAE M20 4 Figure - A variant of Galton Board in which only the nails that can potentially be hit by a ball dropped from the funnel are included, leading to a triangular array instead of a rectangular one. Bean Machine Upright board with evenly spaced nails (or pegs) Nails are arranged in a staggered configuration Balls collected in heaps in evenly-spaced bins at bottom Each time a ball hits one of the nails, it can bounce right (or left) with equal probability. If the number of balls is sufficiently large: The distribution of the heights of the ball heaps will approximate a normal distribution. CEE/MAE M20 Objective 5 Some assumptions 1. No dropped ball goes outside of the board. 2. Subsequent to hitting a peg in one row, a ball can only interact with the peg immediately to the left or the right of that peg in the row below it 3. A ball cannot fall through a row without interacting with a peg 4. Balls fall directly into the bins after falling past the last row of pegs.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern