In the context of probability, what is the Sample Space?
The sample space S of a random phenomenon is the set of all possible outcomes.
In the context of probability, what is an Event?
An event is an outcome or a set of outcomes of a random phenomenon. That is, an event is a subset of the sample space.
In the context of probability, what is a Probability Model?
A mathematical description of a random phenomenon consisting of two parts: a sample space S and a way of assigning probabilities to events.
What are the four Probability Rules?
- Any probability is a number between 0 and 1
- All possible outcomes together must have probability 1
- If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities.
- The probability that an event does not occur is 1 minus the probability that the event does occur.
In terms of probability, what is a true Random Variable?
A variable whose value is a numerical outcome of a random phenomenon.
What is the Probability Distribution of a variable?
The probability distribution of a random variable x tells us what values x can take and how to assign probabilities to those values.
