# The guaranteed deviation

Plot the graph of the probability density function of the standard normal distribution

N(0,1)=(1/(2*pi)^0.5)e^(-0.5*t^2) with -3<=t<3.

Display a grid on your graph and display the integral (from t=0).

A car battery has a mean life of 5.5 years with a standard deviation of 2 years. It is guaranteed for 3 years. Use your graph to estimate the proportion of batteries that will need replacing under the guarantee.

#probabilitydensityfunction #normaldistribution #mean #standarddeviation

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