Lesson 6.2 Analyze 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 whole numbers.

Front

What does the standard deviation of a random variable represent?

Back

The standard deviation measures the amount of variation or dispersion of a set of values. In the context of a random variable, it indicates how much the values typically deviate from the mean.

Front

What is the expected value of a random variable?

Back

The expected value is the long-term average or mean of a random variable, calculated by multiplying each possible outcome by its probability and summing the results.

Front

How do you calculate the expected value of a discrete random variable?

Back

Multiply each possible outcome by its probability and add all the products together.

Front

What is the difference between discrete and continuous random variables?

Back

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

Front

If the mean number of cars owned by households is 1.75, what does this imply?

Back

It implies that, on average, households own 1.75 cars.

Front

What does a standard deviation of 1.08 indicate in the context of the number of cars owned?

Back

It indicates that the number of cars owned by households typically varies by about 1.08 cars from the mean.

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 significance of the mean in a probability distribution?

Back

The mean represents the central tendency of the distribution, indicating where the center of the data lies.

Front

What is an example of a discrete random variable?

Back

The number of students in a classroom is an example of a discrete random variable, as it can only take on whole number values.