We are doing a simulated problem where we have to generate 5

We are doing a simulated problem where we have to generate 50 numbers between 0 and 1 (by using the \"rand\" function on our calculator) to simulate the rolling of a max of two tetrahedral (4 sided) die. We are asked to \"transform\" those samples into random variables. We are asked to do this from the table below:

x     1          2       3       4

f(x) 1/16    3/16    5/16    7/16

a) what exactly does transform those numbers mean

b) how would one find the relative frequencies obtained?

Solution

we can stimulate the four sided die using excel function =RANDBETWEEN(1,4) , stimulate n number of times twice to obtain paired values of two sided dice.

Then count the maximum value from each pair and form a table.

How to obtain the relative frequencies

if roll a foursided dice then possible outcomes are 1,2,3 and 4

similary for second dice also.

total possible number of outcomes are

Mamimum value of two tetrahedral die is

Count the maximum values for each outcome and form a relative frequency distribution

Hope this helps you