Saturday, March 25, 2023

HP 10bII+ and Sharp EL-W516T: Normal Distribution Function

HP 10bII+ and Sharp EL-W516T:  Normal Distribution Function








Sometimes scientific calculators and financial calculators have normal distribution functions.   



HP 10bII+  Normal Distribution



On the HP 10bII+ financial calculator, the normal distribution functions are available at any time:


[ blue shift ] ( z<>p ):   lower tail area of normal distribution [ P(x) ]

[ blue shift ] ( INV) ( z<>p ):  given area, get the probability


Example:


P(0.2) returns 0.57926


If the area is 0.6, z is 0.253347



Sharp EL-W516T Normal Distribution



The normal distribution functions offered on the Sharp EL-W516T are:


[ MATH ] menu in SD mode:

0) →t:   convert to z

1)  P(:  lower tail area

2)  Q(:  I do believe it is the area between the mean and z

3)  R(:  upper tail area


The normal distribution functions are available only in the statistics mode.  


Example:


P(0.2) returns 0.57296.



Is Statistical Data Required?



No.  In general, especially the normal distribution functions does not require or depend on any stat data.  


However, you use the stat data points to convert from x-values to convert stats to a z value in the EL-W516T using →t.  Here is an example:


Data set:  -3, -1, 2, 5, 6 

Convert the data point 0 and then find the lower tail area.


0→t=   -0.524890659

P(ANS) = 0.29983




Eddie



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