FLASHCARD -Probability for Discrete Random Variables

Front

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, often representing counts or categories.

Front

Define probability in the context of discrete random variables.

Back

Probability is a measure of the likelihood that a specific outcome will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event?

Back

P(E) = Number of favorable outcomes / Total number of possible outcomes.

Front

What does it mean for events to be independent?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is a binomial experiment?

Back

A binomial experiment is a statistical experiment that has the following properties: a fixed number of trials, only two possible outcomes (success or failure), and independent trials.

Front

How do you calculate the probability of at least one event occurring?

Back

P(at least one) = 1 - P(none).

Front

What is the 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 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)].

Front

How do you find the probability of selecting a specific item from a group?

Back

Divide the number of specific items by the total number of items in the group.

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, denoted as A'. The probability of the complement is P(A') = 1 - P(A).