Mean of a Discrete Probability Distribution

Vocabulary flashcards related to the mean of a discrete probability distribution.

Mean (𝜇)

The average or expected value of a discrete probability distribution.

Discrete Probability Distribution

A probability distribution that describes the likelihood of each possible value of a discrete random variable.

Expected Value E(X)

The mean of a probability distribution, calculated as E(X) = Σ[X * P(X)].

P(X)

The probability value associated with a particular value of the random variable X.

Formula for Mean

𝝁 = 𝑬(𝑿) = 𝜮[𝑿⦁𝑷(𝑿)] where 𝑿 is the value and 𝑷(𝑿) is the probability.

X⦁P(X)

The product of the value of X and its associated probability P(X), used in calculating the mean.

Example of Mean Calculation

To find the mean of a set of probability distributions, multiply each value of X by its corresponding probability P(X) and sum the results.

Expected Value Calculation

To find the expected value, sum all calculated X⦁P(X) values.