The discussion revolves around the axioms of probability in the context of a cell phone factory, where the probabilities of rejection, repair, and acceptance are given as 0.5, 0.2, and 0.2, respectively. Participants are examining whether these probabilities adhere to the fundamental principles of probability theory.
The discussion is active, with participants offering insights and questioning the assumptions underlying the problem. There is recognition of the potential ambiguity in the wording of the question, and some guidance is provided regarding the need for clarity in defining the sample space.
Participants note that the question may be poorly worded, leading to confusion about the completeness of the sample space and the interpretation of the probabilities given.
Math_QED said:Hint: the probability on the sample space must be 1. I.e., ##P(\Omega)=1##.
What is it in your case?
noreturn2 said:Well technically with how the question is worded it the sample space is accounted for. I guess we we assume there is only 3 conditions of a cell phone it's not accounted for. If we assume they there could be another option that wasn't listed it does account for 100% of the cases.
noreturn2 said:Homework Statement
Give an factory of cell phones there is a .5 rejections, .2 repaired, and .2 acceptable. Does this follow the axioms of probability.
Homework Equations
Sample space = 1;
Probaby: 0 -1
P(AnB)=P(A)+P(B)
The Attempt at a Solution
Technically this does follow the axioms, there is just a 10% chance there is another issue of a board. Be it missing or something. Is that right?