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?
The axioms of probability are a set of fundamental principles that govern the concept of probability. These axioms include the probability of an event being between 0 and 1, the sum of probabilities of all possible outcomes being equal to 1, and the probability of the union of two mutually exclusive events being equal to the sum of their individual probabilities.
In a cell phone factory, the axioms of probability are used to calculate the likelihood of various outcomes, such as the probability of a defective phone being produced or the probability of a specific model being chosen for production. These probabilities can then be used to make decisions and improve the efficiency of the factory's operations.
The axioms of probability are crucial in a cell phone factory as they provide a mathematical framework for understanding and predicting the likelihood of different events. By applying these axioms, the factory can make informed decisions and improve their production processes, leading to increased efficiency and profitability.
The axioms of probability can impact the quality of cell phones produced in a factory by helping to identify potential sources of defects and improving production processes. By accurately calculating probabilities, the factory can make adjustments and reduce the likelihood of producing faulty phones, resulting in higher quality products.
Yes, the axioms of probability can be applied in various industries, such as finance, medicine, and insurance, to name a few. They provide a fundamental basis for understanding uncertainty and making informed decisions based on probabilities. In any industry where there is a need to predict and manage risk, the axioms of probability can be applied.