# lecture4b - Introduction to Computer Programming with...

• Test Prep
• 4

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

Introduction to Computer Programming with MATLAB CEE/MAE M20 Lecture 4b and Random Numbers CEE/MAE M20 2 Watch: 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.

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

This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern