The equation for a general normal curve with mean \(\mu\) and standard deviation \(\sigma\) is \[y=\frac{e^{-(x-\mu)^{2} /\left(2 \sigma^{2}ight)}}{\sigma \sqrt{2 \pi}}\]

Calculate values \(x=20,30, \cdots, 70,80\) where \(\mu=50\) and \(\sigma=10\). Note that setting \(\mu=0\) and \(\sigma=1\) in this equation gives the equation for the standard normal curve .