HP 10413 Datasheet download pdf (Page 130)

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The expression INT(RANDOM*6+1) will

simulate one roll of the die. This means that

MAKELIST(INT(RANDOM*6+1),X,1,500,1)

will simulate 500 rolls of a normal die.

We therefore need only store the

resulting list into a Statistics aplet

column to analyze and graph it. This

is shown in the series of screen shots

to the right.

To simulate the adding of two six sided dice, use the similar expression

MAKELIST(INT(RANDOM*6+1)+INT(RANDOM*6+1),X,1,500,1)

Simulating Random Variables

It is occasionally handy to be able to simulate a set of observations on

random variables of various sorts. This can also be done using the MATH

menu function MAKELIST. (See previous page for syntax. Covered in more

detail on page 266)

Example 1: Simulate 100 observations on a U[0,1] r.v. to be stored in C2.

In the HOME view type: MAKELIST(RANDOM,X,1,100,1) C2

Note: 1. The symbol is one of the screen keys in the HOME view,

appearing as and read as ‘store’.

2. The X is only a dummy variable here to count off the values.

Example 2: Simulate 50 observations on a discrete uniform r.v. U[3,7]

In HOME type: MAKELIST(INT(5*RANDOM+3),X,1,50,1)

Example 3: Simulate 50 obs. on a Binomial r.v. with n = 20 and p = 0.75.

In HOME type:

MAKELIST(

Σ(I=1,20,RANDOM<0

75),X,1,50,1) C2

Note: The Σ and the = are both on the keyboard. This will be a

relatively slow calculation because it involves evaluating 1000

random numbers.

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HP 10413 Datasheet Page 130