Probability Distributions 5-1 5-2

Front

What is a discrete random variable?

Back

A discrete random variable is a variable that can take on a countable number of distinct values. Examples include the number of students in a class or the number of heads in a series of coin flips.

Front

What is a continuous random variable?

Back

A continuous random variable is a variable that can take on an infinite number of values within a given range. Examples include height, weight, and time.

Front

Give an example of a discrete data set.

Back

The number of students in a classroom is a discrete data set because it can only take whole number values.

Front

Give an example of a continuous data set.

Back

The temperature in a room is a continuous data set because it can take any value within a range.

Front

What is the difference between discrete and continuous data?

Back

Discrete data consists of distinct, separate values, while continuous data can take any value within a range.

Front

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.

Front

What is the expected value in probability?

Back

The expected value is the long-term average of a random variable, calculated as the sum of all possible values, each multiplied by its probability.

Front

What is a fair game in probability?

Back

A fair game is one where the expected value of the game is zero, meaning that neither player has an advantage over the other.

Front

What does it mean for a die to be fair?

Back

A fair die is one where each face has an equal probability of landing face up, typically 1/6 for a standard six-sided die.

Front

How do you calculate the probability of a single event?

Back

The probability of a single event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.