Normal distribution > Normal probabilities
1234Normal probabilities

Theory

Statistical variables such as length, weight, volume etc. are ofthen normally distributed. The shape of the normal curve is determined by the mean μ and the standard deviation σ of the distribution. The formula for the normal distribution has been programmed into your graphing calculator so that it can draw a normal curve for you if you enter values for those variables.

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The corresponding normal probabilities can be found by calculating the required area under the normal curve. In the applet you see :
Ρ ( 165 < L < 180 ) = 0.380

The graphing calculator can directly calculate these probabilities. It will also shade the corresponding area for you.

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