Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.

A single thermometer is randomly selected and tested. Let $\displaystyle {Z}$ represent the reading of this thermometer at freezing. What reading separates the highest 1.11% from the rest? That is, if $\displaystyle {P}{\left({z}>{c}\right)}={0.0111}$, find c.

$\displaystyle {c}=$ °C