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The Normal Approximation to the Binomial

Directions: Use the following applet to explore the Normal Approximation to the Binomial. Use the sliders to adjust the sample size (n) and the probability (p). Examine how it changes the histogram. Also, use the check-boxes to show the comparisons of the Binomial distribution to the Normal distribution and to show the areas on the histogram. Also, click and drag the point A to change the area of the highlighted region underneath the curves. Consider the following questions as you explore: #1. How similar are the Normal and Binomial distributions in shape? #2. Do the shape similarities change as you change n and p? #3. How similar are the areas under the curves for the Normal and Binomial Distributions? What differences can you find here?