Q2W8 Random Variables Basic

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What is a probability distribution?

Back

A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment. The sum of all probabilities in a valid distribution must equal 1.

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What is a discrete random variable?

Back

A discrete random variable is a type of variable that can take on a countable number of distinct values, such as the number of siblings a person has.

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What does it mean if a probability distribution does not sum to 1?

Back

If a probability distribution does not sum to 1, it is not a valid probability distribution, meaning it cannot accurately represent the probabilities of outcomes.

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How do you denote 'trapping less than 2 mice' in mathematical terms?

Back

X < 2, where X represents the number of mice caught.

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What is the range of probabilities in a valid probability distribution?

Back

All probabilities in a valid probability distribution must be between 0 and 1, inclusive.

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If you pass the person in second place in a race, what place are you in?

Back

You are in second place.

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What is the sum of probabilities in a valid probability distribution?

Back

The sum of probabilities in a valid probability distribution must equal 1.

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What is an example of a continuous random variable?

Back

An example of a continuous random variable is the height of a person, which can take on any value within a range.

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What is the difference between discrete and continuous random variables?

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Discrete random variables can take on specific, countable values, while continuous random variables can take on any value within a given range.

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What is the probability of an event that cannot occur?

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The probability of an event that cannot occur is 0.