Normal Probability Distribution Calculation; Standard Normal Distribution - Casio FX-CG20 AU User Manual

k Normal Probability Distribution Calculation
You can calculate normal probability distributions for single-variable statistics with the
Run-Matrix mode.
Press K6( g) 3(PROB) 6( g) to display a function menu, which contains the following
items.
• { P( } / { Q( } / { R( } ... obtains normal probability {P(
t
• { ( } ... {obtains normalized variate
• Normal probability P(
following formulas.

Standard Normal Distribution

0 0
Example
t x
(
t t t
), Q( ), and R(
t t
P ( P ( ) )
t t
σ σ
x x
The following table shows the results of measurements of the height of
20 college students. Determine what percentage of the students fall in
the range 160.5 cm to 175.5 cm. Also, in what percentile does the 175.5
cm tall student fall?
Class no. Height (cm) Frequency
1 158.5
2 160.5
3 163.3
4 167.5
5 170.2
t t
)}/{Q( )}/{R(
) value}
), and normalized variate
t t
Q ( Q ( ) )
t t
0 0
Class no. Height (cm) Frequency
1
1
2
2
3
6-28
t
)} value
t x
( ) are calculated using the
t t
R ( R ( ) )
t t
0 0
6 173.3
7 175.5
8 178.6
9 180.4
10 186.7
4
2
2
2
1