Calculate values for the equation \(y=2^{-x^{2}}\) and compare with the standard normal curve in Problem 58.

List some similarities and some differences.

Data from Problem 58

The equation for the standard normal curve is an exponential equation:
\[y=\frac{e^{-x^{2} / 2}}{\sqrt{2 \pi}}\]
Evaluate this formula for \[x=-4,-3, \cdots, 3,4 . \quad \text {}\]