Key points are not available for this paper at this time.
For the normal cumulative distribution function: Φ (x) we give the approximation 2** (-22** (1-41** (x/10) ) ) for any x>0, which is very (with only integer constants and operations - and / and power **) and is very simply explicitly invertible having 1 entry of x. has 3 decimals of precision having absolute error less than 0. 00013. We the inverse which approximates the normal quantile function, probit, and it has the relative precision of 1 percent (from 0. 5) till 0. 999. We give an open problem and a noticeable bibliography. report several other approximations.
Soranzo et al. (Wed,) studied this question.