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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?

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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'.

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

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What is a variable in statistics?

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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?

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

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

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

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What is the expected value of a random variable?

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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?

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

Front

What is the law of large numbers?

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