Probability functions, Factorial, Gamma – HP 33s User Manual

Page 78: Probability

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4–14

Real–Number

Functions

Probability Functions

Factorial

To calculate the factorial of a displayed non-negative integer x (0

x ≤ 253), press

{ 

(the left–shifted



key).

Gamma

To calculate the gamma function of a noninteger x,

Γ(x), key in (x – 1) and press

{ 

. The x! function calculates

Γ(x + 1). The value for x cannot be a negative

integer.

Probability

Combinations

To calculate the number of possible sets of n items taken r at a time, enter n first,

{ \

, then r (nonnegative integers only). No item occurs more than once in a

set, and different orders of the same r items are not counted separately.

Permutations

To calculate the number of possible arrangements of n items taken r at a time, enter
n

first,

{ _

, then r (nonnegative integers only). No item occurs more than

once in an arrangement, and different orders of the same r items are counted
separately.

Seed

To store the number in x as a new seed for the random number generator, press

| i

.

Random number generator

To generate a random number in the range 0

x < 1, press

| k

. (The

number is part of a uniformly–distributed pseudo–random number sequence. It
passes the spectral test of D. Knuth, The Art of Computer Programming, vol. 2,
Seminumerical Algorithms

, London: Addison Wesley, 1981.)

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