HP 35s Scientific Calculator - Manual (Page 258)

16-12 Statistics Programs
This program uses the built–in integration feature of the HP 35s to integrate the
equation of the normal frequency curve. The inverse is obtained using Newton's
method to iteratively search for a value of x which yields the given probability Q(x).
x
y
"Upper tail"
area
x
Q [x]
∫
ч ч − − − =
x
x
x x dx e x Q 2 ) ) (( 2
2
1
5 . 0 ) (
σ
π σ