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This applet is designed to help you to visualise the shape of Binomial distributions, and the effect of
varying the parameters n and p. By clicking and dragging the two sliders at the
bottom, n can be varied from 2 to 100, and p
from 0.01 to 0.99.
You can see the values of different Binomial probabilities near the bottom of the screen, and you can
change the range you want by sliding the black balls along the baseline of the graph. Try it out for
yourself.
Checking "Normal" box draws, in yellow, the pdf (probability density function) of the Normal distribution
which has the same mean and variance as the Binomial. It also displays some Normal probabilities
to help you compare with the Binomial ones. A percentage error is also shown.
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Each distribution can be clicked on or off, to help you compare the two distributions. Clicking "Reset"
returns the screen to the starting position.
Play around with different numbers of trials (n) and different probabilities of success
(p). You should try to judge when one distribution is a good approximation of the other,
and when it isn't. Learn by experimenting.
If you check the "Rectangles" box, the Binomial distribution is redrawn with rectangles instead of
sticks. This is to help you to understand the need for a continuity correction when
you are using the Normal distribution to estimate Binomial probabilities. Ask your teacher about
continuity corrections.
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