Question

Example I A die is thrown. List the element of the sample space and the corresponding values w of the random variable W, where Wis the number on the side facing up.

Answer 1

Sample space is the collection of all certain outcomes of an experiment

here our experiment is throwing a die

die has 6 sides with numbers 1 to 6 on each side respectively

when we throw a die all possible outcomes are 1,2,3,4,5,6

hence our sample space is {1,2,3,4,5,6}

W is the number on the side facing up on die

for the sample space {1,2,3,4,5,6} the respective random variable value W={1,2,3,4,5,6}