HP 12c Platinum Reference Guide

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.
(
)






+
++
−≅
165/703
56235183
2
1
)(
x
x
EXPxQ
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
DISPLAY
12c platinum
ALG KEYSTROKES
DISPLAY
fs fs
fCLEARÎ
000,
fCLEARÎ
000,
?0
001, 44 0
?0
001, 44 0
8
002, 8
7
002, 7
3
003, 3
0
003, 0
§
004, 20
3
004, 3
3
005, 3
z
005, 10
5
006, 5
~
006, 34
1
007, 1
+
007, 40
x
f(x)
Q
(
x
)
0

HP 12c Platinum Specifications

General

Digits	10 digits
Battery type	CR2032
Type	Financial
Form factor	Pocket

Weight and Dimensions

Weight	110 g
Dimensions (WxDxH)	79 x 129 x 15 mm