Normal Distribution - HP 12c Platinum Reference Manual

112 Statistics

Normal Distribution

The normal (or Gaussian) distribution is an important tool in statistics and business
analysis. The following HP 12C Platinum program gives an approximation to the upper
tail area Q under a standardized normal distribution curve, given x. The upper tail area
signifies the probability of occurrence of all values ≥ x.
1
≅
Q ( x ) EXP
2
Relative error less than 0.042% over the range 0 < x < 5.5
Reference:
Stephen E. Derenzo, "Approximations for Hand Calculators Using Small Integer
Coefficients," Mathematics of Computation, Vol. 31, No. 137, page 2014,225; Jan 1977.
12c platinum / 12C
RPN KEYSTROKES
fs
fCLEARÎ
?0
8
3
§
3
5
1
f(x)
0 x
( )
+ +

83 x 351 562
−

+
703 / x 165

DISPLAY
000,
0 ?0
001, 44
8 7
002,
3 0
003,
20 3
004,
3 z
005,
5 ~
006,
1 +
007,
Q(x)



12c platinum
ALG KEYSTROKES
fs
fCLEARÎ
DISPLAY
000,
001, 44 0
002, 7
003, 0
004, 3
005, 10
006, 34
007, 40