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CALC 1 Probabilities Calculator

This calculator focuses on common probability distributions and functions.

Shifted Keys:

 

Keystrokes "= or ENTER": use = in Chain calculation mode, ENTER in RPN calculation mode.
When using Algebraic calculation mode, many of these keys will insert the function.

For more distruibutions, see the Statistical Distributions Overview.

Φ(x) key, the standard normal distribution CDF.

Value Keystrokes Display Description
1 Φ(x) 0.841 Calculates the standard normal distribution CDF

Φ⁻¹(p) key, the inverse standard normal distribution CDF.

Value Keystrokes Display Description
.95 shift
Φ⁻¹(p)
1.64 Calculates the inverse standard normal distribution CDF.

Φ 2t(x) key, the standard normal distribution CDF for 2 tails.

Value Keystrokes Display Description
2 shift
Φ 2t(x)
0.954 Calculates the standard normal distribution CDF for 2 tails.

Φ⁻¹2t(p) key, the inverse standard normal distribution CDF for 2 tails.

Value Keystrokes Display Description
.95 shift
Φ⁻¹2t(p)
1.96 Calculates the inverse standard normal distribution CDF for 2 tails.

t(x,df) key, the t distribution CDF.

Value Keystrokes Display Description
2 = or ENTER 2.00 Enters the X value
5 t(x,df) 0.949 Enters the df value, then calculates the t distribution CDF.

t⁻¹(p,df) key, the inverse t distribution CDF.

Value Keystrokes Display Description
.95 = or ENTER 0.950 Enters the p value
5 shift
t⁻¹(p,df)
2.02 Enters the df value, then calculates the inverse t distribution CDF.

t 2t(p,df) key, the t distribution CDF for 2 tails.

Value Keystrokes Display Description
2 = or ENTER 2.00 Enters the X value
5 shift
t 2t(p,df)
0.898 Enters the df value, then calculates the t distribution CDF for 2 tails.

t(x,df) key, the inverse t distribution CDF for 2 tails.

Value Keystrokes Display Description
.95 = or ENTER 0.950 Enters the p value
5 shift
t⁻¹2t(p,df)
2.57 Enters the df value, then calculates the inverse t distribution CDF for 2 tails.

χ²(x,df) key, the Chi-Squared Distribution CDF.

Value Keystrokes Display Description
2 = or ENTER 2.00 Enters the X value
5 χ²(x,df) 0.151 Enters the df value, then calculates the Chi-Squared distribution CDF.

χ²⁻¹(p,df) key, the inverse Chi-Squared distribution CDF.

Value Keystrokes Display Description
.95 = or ENTER 0.95 Enters the p value
5 shift
χ²⁻¹(p,df)
11.1 Enters the df value, then calculates the inverse Chi-Squared distribution CDF.

nCr key, the combinations of n items taken r at a time.

Value Keystrokes Display Description
52 = or ENTER 52.0 Enters the n value
5 nCr 2,598,960 Enters the r value, then calculates combinations of n items taken r at a time.

nPr key, the permutations of n items taken r at a time.

Value Keystrokes Display Description
52 = or ENTER 52.0 Enters the n value
5 shift
nPr
311,875,200 Enters the r value, then calculates the permutations of n items taken r at a time.

Γ key, the gamma function.

Value Keystrokes Display Description
5 Γ 24 Calculates the gamma function.

ln Γ key, the gamma function.

Value Keystrokes Display Description
5 shift
ln Γ
3.18 Calculates the natural log of the gamma function.

1-x key

This key is a quick calculation of p values to convert form lower to upper tail.

Value Keystrokes Display Description
0.95 1 - x .05 Calculates 1 - x.

 

rand key, Returns a pseudo-random number between 0 and <1.

rand(x,y) key, returns a random number between x and y.

Value Keystrokes Display Description
52 = or ENTER 52.0 Enters the y value
1 rand(x,y) A random number from 1 - 52. Enters the x value, then returns a random number between x and y.

To repeat, press the ROLL key to roll the x and y values down, then press rand(x,y).
The minimum and maximum values can be in any order.