Probability and Statistics Flashcard - Randomness and Simulation

Front

What is randomness in probability?

Back

Randomness refers to the lack of pattern or predictability in events. In a random process, each outcome has an equal chance of occurring.

Front

Define a random sample.

Back

A random sample is a subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.

Front

What is a simulation in statistics?

Back

A simulation is a method used to model the behavior of a system or process by generating random samples to mimic real-world scenarios.

Front

Explain the difference between random and non-random outcomes.

Back

Random outcomes are unpredictable and have no discernible pattern, while non-random outcomes can be anticipated based on prior knowledge or patterns.

Front

What does it mean for outcomes to be equally likely?

Back

Outcomes are equally likely when each possible outcome has the same probability of occurring.

Front

What is the law of large numbers?

Back

The law of large numbers states that as the number of trials increases, the experimental probability of an event will converge to its theoretical probability.

Front

What is a probability distribution?

Back

A probability distribution is a mathematical function that describes the likelihood of different outcomes in a random experiment.

Front

Define the term 'event' in probability.

Back

An event is a specific outcome or a set of outcomes from a random experiment.

Front

What is the difference between independent and dependent events?

Back

Independent events are those whose outcomes do not affect each other, while dependent events are those where the outcome of one event influences the outcome of another.

Front

What is a sample space?

Back

A sample space is the set of all possible outcomes of a random experiment.