Binomial Distribution

Examples

There are three examples demonstrating the use of the applet.

How to Use this Applet

The Control Area

Handles

The sliders change the parameters "n" and "N" in a binomial experiment. "n" is the number of trials within an experiment. "N" is the number of times the experiment is performed.

  • Drag a slider to change the value of a parameter.
  • The <LEFT> and <RIGHT> arrow keys can be used to change the selected parameter [light blue].
  • The <UP> and <DOWN> arrow keys can be used to increase or decrease the selected parameter. (Use this feature for fine adjustments.)
  • If the arrow keys don't respond, click the cursor in the applet frame then try again.
  • Drag a parameter scale to "move" it. (I.e., change the range but maintain the scale "length".)
  • Select the corresponding parameter button to enter a value for a parameter.
  • Select "ADJUSTABLE SCALES" to change the position or scale of the histogram (See notes below).
  • Select "SMALL n SCALES" to display all of the relevant data on the smallest horizontal interval.
  • Select "LARGE n SCALES" to display all of the data on an interval containing the endpoints of "zero" and "n".

The Graph Area (when "ADJUSTABLE SCALES" is selected).

  • The <SHIFT> key: Click and drag horizontally in the graph area to move the entire coordinate system horizontally.
  • The <CTRL> key: Click and drag in the graph area towards or away from the :
    • horizontal scale to change the vertical scale about the horizontal axis.
    • highest location of the "bell"-curve to change the horizontal scale about the horizontal "center" of the curve.

Other

  • Use the "GRAPH LINES" button to graph lines through the highlighted points ( ).
  • Use the "GRAPH SEGMENTS" button to graph line segments with the highlighted points ( ) as endpoints.
  • Use the "RESET" button to restore the applet to the initial state.