Dec 4 - Discrete Probability Distributions

Front

What is a discrete probability distribution?

Back

A discrete probability distribution is a statistical distribution that describes the likelihood of each possible outcome of a discrete random variable, where the outcomes are countable.

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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, such as the number of students in a class.

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What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

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

Back

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

Front

What is the formula for calculating the probability of getting exactly k successes in n trials?

Back

P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where p is the probability of success.

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What does 'at least' mean in probability?

Back

'At least' means that the event can occur with the specified number or more, e.g., 'at least 4 correct answers' includes 4, 5, etc.

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What is the expected value of a discrete random variable?

Back

The expected value is the long-term average value of repetitions of the experiment it represents, calculated as E(X) = Σ [x * P(x)].

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What is a binomial distribution?

Back

A binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials.

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What is the variance of a discrete random variable?

Back

The variance measures the spread of a set of values, calculated as Var(X) = E(X^2) - [E(X)]^2.

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What is the difference between discrete and continuous variables?

Back

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