* do-file for Supplementary Exercise 1.127 of IPS7e
version 17 /* works also with versions 13-16 */

* (a)
display 1-normal((240-185)/39)

* (b)
display normal((240-185)/39)-normal((200-185)/39)

* note: Stata only has a cumulative probability function for N(0,1),
* but by writing the expressions for the standardization directly,
* we effectively avoid computing any z-scores