Consider the six elementary outcomes when a fair die is thrown once
MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
Consider the six elementary outcomes when a fair die is thrown once. Two different students suggest the following probability assignments to these outcomes.
List A: {0.12,0.17,0.16,0.18,0.20,0.17}
List B: {0.05,0.10,−0.02,0.30,0.25,0.32}
Answer the following questions.
(i) Determine, with reasons, whether List A defines a valid probability distribution for the die outcomes.
(ii) Determine, with reasons, whether List B defines a valid probability distribution for the die outcomes.
(iii) State the two fundamental conditions that any set of numbers must satisfy in order to represent the probabilities of all elementary events of an experiment.