Statistics 6.1 Random Variables & Probability Distributions

Front

What is a discrete random variable?

Back

A discrete random variable is a variable that can take on a countable number of distinct values, often representing counts or whole numbers.

Front

What is a continuous random variable?

Back

A continuous random variable is a variable that can take on an infinite number of values within a given range, often representing measurements.

Front

Define 'random variable'.

Back

A random variable is a numerical outcome of a random phenomenon, which can be either discrete or continuous.

Front

What is a variable in statistics?

Back

A variable is a characteristic or attribute that can change or vary among individuals or items in a sample or population.

Front

What is a probability distribution?

Back

A probability distribution is a function that describes the likelihood of obtaining the possible values that a random variable can take.

Front

What is the difference between a sample and a population?

Back

A sample is a subset of individuals selected from a population, which is the entire group of individuals or items of interest.

Front

What does it mean for a random variable to be normally distributed?

Back

A normally distributed random variable has a symmetric bell-shaped probability distribution characterized by its mean and standard deviation.

Front

What is the expected value of a random variable?

Back

The expected value is the long-term average or mean of a random variable, calculated as the sum of all possible values weighted by their probabilities.

Front

How do you calculate the probability of independent events?

Back

The probability of independent events occurring together is the product of their individual probabilities.

Front

What is the law of large numbers?

Back

The law of large numbers states that as the number of trials increases, the sample mean will converge to the expected value.